User’s Guide¶
1. Graphical User Interface¶
A graphical user interface written in Python programing language has been developed to simplify the use of package OpenNTP. After starting the software by typing the following command line in a terminal:
cd OpenNTP $ python main.py
A main window (GUI) of the package OpenNTP on an Ubuntu Linux machine will be displayed as in Figure bellow.
2. Examples & test suite¶
2.2. Two-dimensional benchmark¶
2.2.1. Creating JSON Input File¶
The input data file must be in JSON format. The first method is to write it directly in Text editor as is shown in the figure below, which illustrates an example input file of a C5G7 benchmark on deterministic transport calculations without spatial homogenization taken from [Lewis, E. E., et al.,2001].
{ "data": { "parameter": { "id": 100, "Total number of energy groups": 7, "Total number of materials": 7, "Total number of pin cells": 7, "Total number of assemblies": 3, "Total number of active pin cells": 1060, "Core":[[1,2,3], [2,1,3], [3,3,3]], "Number of angular discretizations": 2, "The l-order Legendre polynomial": 0, "Maximum number of iterations": 200, "Criterion of Keff convergence": 1.0e-6 }, "Assemblies": [ { "id": 1, "nom": "UO2", "assembly": [[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1], [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1], [1,1,1,1,1,6,1,1,6,1,1,6,1,1,1,1,1], [1,1,1,6,1,1,1,1,1,1,1,1,1,6,1,1,1], [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1], [1,1,6,1,1,6,1,1,6,1,1,6,1,1,6,1,1], [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1], [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1], [1,1,6,1,1,6,1,1,5,1,1,6,1,1,6,1,1], [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1], [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1], [1,1,6,1,1,6,1,1,6,1,1,6,1,1,6,1,1], [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1], [1,1,1,6,1,1,1,1,1,1,1,1,1,6,1,1,1], [1,1,1,1,1,6,1,1,6,1,1,6,1,1,1,1,1], [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1], [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]] }, { "id": 2, "nom": "MOX", "assembly": [[2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2], [2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2], [2,3,3,3,3,6,3,3,6,3,3,6,3,3,3,3,2], [2,3,3,6,3,4,4,4,4,4,4,4,3,6,3,3,2], [2,3,3,3,4,4,4,4,4,4,4,4,4,3,3,3,2], [2,3,6,4,4,6,4,4,6,4,4,6,4,4,6,3,2], [2,3,3,4,4,4,4,4,4,4,4,4,4,4,3,3,2], [2,3,3,4,4,4,4,4,4,4,4,4,4,4,3,3,2], [2,3,6,4,4,6,4,4,5,4,4,6,4,4,6,3,2], [2,3,3,4,4,4,4,4,4,4,4,4,4,4,3,3,2], [2,3,3,4,4,4,4,4,4,4,4,4,4,4,3,3,2], [2,3,6,4,4,6,4,4,6,4,4,6,4,4,6,3,2], [2,3,3,3,4,4,4,4,4,4,4,4,4,3,3,3,2], [2,3,3,6,3,4,4,4,4,4,4,4,3,6,3,3,2], [2,3,3,3,3,6,3,3,6,3,3,6,3,3,3,3,2], [2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2], [2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2]] }, { "id": 3, "nom": "Moderator", "assembly": [[7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7], [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7], [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7], [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7], [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7], [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7], [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7], [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7], [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7], [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7], [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7], [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7], [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7], [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7], [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7], [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7], [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]] } ], "PinCells": [ { "id": 1, "nom": "UO2", "width_x":[0.15144,0.95712,0.15144], "width_y":[0.15144,0.95712,0.15144], "mat_fill": [[7,7,7], [7,1,7], [7,7,7]], "fine_mesh": [[4,4,4], [4,4,4], [4,4,4]] }, { "id": 2, "nom": "MOX4.3%", "width_x":[0.15144,0.95712,0.15144], "width_y":[0.15144,0.95712,0.15144], "mat_fill": [[7,7,7], [7,2,7], [7,7,7]], "fine_mesh": [[4,4,4], [4,4,4], [4,4,4]] }, { "id": 3, "nom": "MOX7.0%", "width_x":[0.15144,0.95712,0.15144], "width_y":[0.15144,0.95712,0.15144], "mat_fill": [[7,7,7], [7,3,7], [7,7,7]], "fine_mesh": [[4,4,4], [4,4,4], [4,4,4]] }, { "id": 4, "nom": "MOX8.7%", "width_x":[0.15144,0.95712,0.15144], "width_y":[0.15144,0.95712,0.15144], "mat_fill": [[7,7,7], [7,4,7], [7,7,7]], "fine_mesh": [[4,4,4], [4,4,4], [4,4,4]] }, { "id": 5, "nom": "Fission Chamber", "width_x":[0.15144,0.95712,0.15144], "width_y":[0.15144,0.95712,0.15144], "mat_fill": [[7,7,7], [7,5,7], [7,7,7]], "fine_mesh": [[4,4,4], [4,4,4], [4,4,4]] }, { "id": 6, "nom": "Guide Tube", "width_x":[0.15144,0.95712,0.15144], "width_y":[0.15144,0.95712,0.15144], "mat_fill": [[7,7,7], [7,6,7], [7,7,7]], "fine_mesh": [[4,4,4], [4,4,4], [4,4,4]] }, { "id": 7, "nom": "Moderator", "width_x":[0.15144,0.95712,0.15144], "width_y":[0.15144,0.95712,0.15144], "mat_fill": [[7,7,7], [7,7,7], [7,7,7]], "fine_mesh": [[4,4,4], [4,4,4], [4,4,4]] } ], "materials": [ { "id": 1, "nom": "UO2", "XSTotal": [1.77949E-01,3.29805E-01,4.80388E-01,5.54367E-01,3.11801E-01,3.95168E-01,5.64406E-01], "XSNuFission": [2.00599E-02,2.02730E-03,1.57059E-02,4.51830E-02,4.33421E-02,2.02090E-01,5.25711E-01], "XSFission": [7.21206E-03,8.19301E-04,6.45320E-03,1.85648E-02,1.78084E-02,8.30348E-02,2.16004E-01], "XSScatter Matrix": [[[1.27537E-01,4.23780E-02,9.43740E-06,5.51630E-09,0.00000E-00,0.00000E-00,0.00000E-00], [0.00000E-00,3.24456E-01,1.63140E-03,3.14270E-09,0.00000E-00,0.00000E-00,0.00000E-00], [0.00000E-00,0.00000E-00,4.50940E-01,2.67920E-03,0.00000E-00,0.00000E-00,0.00000E-00], [0.00000E-00,0.00000E-00,0.00000E-00,4.52565E-01,5.56640E-03,0.00000E-00,0.00000E-00], [0.00000E-00,0.00000E-00,0.00000E-00,1.25250E-04,2.71401E-01,1.02550E-02,1.00210E-08], [0.00000E-00,0.00000E-00,0.00000E-00,0.00000E-00,1.29680E-03,2.65802E-01,1.68090E-02], [0.00000E-00,0.00000E-00,0.00000E-00,0.00000E-00,0.00000E-00,8.54580E-03,2.73080E-01]]], "XSChi": [5.87910E-01,4.11760E-01,3.39060E-04,1.17610E-07,0.00000E+00,0.00000E+00,0.00000E+00] }, { "id": 2, "nom": "MOX4.3%", "XSTotal": [1.78731E-01,3.30849E-01,4.83772E-01,5.66922E-01,4.26227E-01,6.78997E-01,6.82852E-01], "XSNuFission": [2.17530E-02,2.53510E-03,1.62679E-02,6.54741E-02,3.07241E-02,6.66651E-01,7.13990E-01], "XSFission": [7.62704E-03,8.76898E-04,5.69835E-03,2.28872E-02,1.07635E-02,2.32757E-01,2.48968E-01], "XSScatter Matrix": [[[1.28876E-01,4.14130E-02,8.22900E-06,5.04050E-09,0.00000E-00,0.00000E-00,0.00000E-00], [0.00000E-00,3.25452E-01,1.63950E-03,1.59820E-09,0.00000E-00,0.00000E-00,0.00000E-00], [0.00000E-00,0.00000E-00,4.53188E-01,2.61420E-03,0.00000E-00,0.00000E-00,0.00000E-00], [0.00000E-00,0.00000E-00,0.00000E-00,4.57173E-01,5.53940E-03,0.00000E-00,0.00000E-00], [0.00000E-00,0.00000E-00,0.00000E-00,1.60460E-04,2.76814E-01,9.31270E-03,9.16560E-09], [0.00000E-00,0.00000E-00,0.00000E-00,0.00000E-00,2.00510E-03,2.52962E-01,1.48500E-02], [0.00000E-00,0.00000E-00,0.00000E-00,0.00000E-00,0.00000E-00,8.49480E-03,2.65007E-01]]], "XSChi": [5.87910E-01,4.11760E-01,3.39060E-04,1.17610E-07,0.00000E+00,0.00000E+00,0.00000E+00] }, { "id": 3, "nom": "MOX7.0%", "XSTotal": [1.81323E-01,3.34368E-01,4.93785E-01,5.91216E-01,4.74198E-01,8.33601E-01,8.53603E-01], "XSNuFission": [2.38140E-02,3.85869E-03,2.41340E-02,9.43662E-02,4.57699E-02,9.28181E-01,1.04320E+00], "XSFission": [8.25446E-03,1.32565E-03,8.42156E-03,3.28730E-02,1.59636E-02,3.23794E-01,3.62803E-01], "XSScatter Matrix": [[[1.30457E-01,4.17920E-02,8.51050E-06,5.13290E-09,0.00000E-00,0.00000E-00,0.00000E-00], [0.00000E-00,3.28428E-01,1.64360E-03,2.20170E-09,0.00000E-00,0.00000E-00,0.00000E-00], [0.00000E-00,0.00000E-00,4.58371E-01,2.53310E-03,0.00000E-00,0.00000E-00,0.00000E-00], [0.00000E-00,0.00000E-00,0.00000E-00,4.63709E-01,5.47660E-03,0.00000E-00,0.00000E-00], [0.00000E-00,0.00000E-00,0.00000E-00,1.76190E-04,2.82313E-01,8.72890E-03,9.00160E-09], [0.00000E-00,0.00000E-00,0.00000E-00,0.00000E-00,2.27600E-03,2.49751E-01,1.31140E-02], [0.00000E-00,0.00000E-00,0.00000E-00,0.00000E-00,0.00000E-00,8.86450E-03,2.59529E-01]]], "XSChi": [5.87910E-01,4.11760E-01,3.39060E-04,1.17610E-07,0.00000E+00,0.00000E+00,0.00000E+00] }, { "id": 4, "nom": "MOX8.7%", "XSTotal": [1.83045E-01,3.36705E-01,5.00507E-01,6.06174E-01,5.02754E-01,9.21028E-01,9.55231E-01], "XSNuFission": [2.51860E-02,4.73951E-03,2.94781E-02,1.12250E-01,5.53030E-02,1.07500E+00,1.23930E+00], "XSFission": [8.67209E-03,1.62426E-03,1.02716E-02,3.90447E-02,1.92576E-02,3.74888E-01,4.30599E-01], "XSScatter Matrix": [[[1.31504E-01,4.20460E-02,8.69720E-06,5.19380E-09,0.00000E-00,0.00000E-00,0.00000E-00], [0.00000E-00,3.30403E-01,1.64630E-03,2.60060E-09,0.00000E-00,0.00000E-00,0.00000E-00], [0.00000E-00,0.00000E-00,4.61792E-01,2.47490E-03,0.00000E-00,0.00000E-00,0.00000E-00], [0.00000E-00,0.00000E-00,0.00000E-00,4.68021E-01,5.43300E-03,0.00000E-00,0.00000E-00], [0.00000E-00,0.00000E-00,0.00000E-00,1.85970E-04,2.85771E-01,8.39730E-03,8.92800E-09], [0.00000E-00,0.00000E-00,0.00000E-00,0.00000E-00,2.39160E-03,2.47614E-01,1.23220E-02], [0.00000E-00,0.00000E-00,0.00000E-00,0.00000E-00,0.00000E-00,8.96810E-03,2.56093E-01]]], "XSChi": [5.87910E-01,4.11760E-01,3.39060E-04,1.17610E-07,0.00000E+00,0.00000E+00,0.00000E+00] }, { "id": 5, "nom": "Fission Chamber", "XSTotal": [1.26032E-01,2.93160E-01,2.84250E-01,2.81020E-01,3.34460E-01,5.65640E-01,1.17214E+00], "XSNuFission": [1.32340E-08,1.43450E-08,1.12860E-06,1.27630E-05,3.53850E-07,1.74010E-06,5.06330E-06], "XSFission": [4.79002E-09,5.82564E-09,4.63719E-07,5.24406E-06,1.45390E-07,7.14972E-07,2.08041E-06], "XSScatter Matrix": [[[6.61659E-02,5.90700E-02,2.83340E-04,1.46220E-06,2.06420E-08,0.00000E-00,0.00000E-00], [0.00000E-00,2.40377E-01,5.24350E-02,2.49900E-04,1.92390E-05,2.98750E-06,4.21400E-07], [0.00000E-00,0.00000E-00,1.83425E-01,9.22880E-02,6.93650E-03,1.07900E-03,2.05430E-04], [0.00000E-00,0.00000E-00,0.00000E-00,7.90769E-02,1.69990E-01,2.58600E-02,4.92560E-03], [0.00000E-00,0.00000E-00,0.00000E-00,3.73400E-05,9.97570E-02,2.06790E-01,2.44780E-02], [0.00000E-00,0.00000E-00,0.00000E-00,0.00000E-00,9.17420E-04,3.16774E-01,2.38760E-01], [0.00000E-00,0.00000E-00,0.00000E-00,0.00000E-00,0.00000E-00,4.97930E-02,1.0991E+00]]], "XSChi": [5.87910E-01,4.11760E-01,3.39060E-04,1.17610E-07,0.00000E+00,0.00000E+00,0.00000E+00] }, { "id": 6, "nom": "Guide Tube", "XSTotal": [1.26032E-01,2.93160E-01,2.84240E-01,2.80960E-01,3.34440E-01,5.65640E-01,1.17215E+00], "XSNuFission": [0.00000E+00,0.00000E+00,0.00000E+00,0.00000E+00,0.00000E+00,0.00000E+00,0.00000E+00], "XSFission": [0.00000E+00,0.00000E+00,0.00000E+00,0.00000E+00,0.00000E+00,0.00000E+00,0.00000E+00], "XSScatter Matrix": [[[6.61659E-02,5.90700E-02,2.83340E-04,1.46220E-06,2.06420E-08,0.00000E-00,0.00000E-00], [0.00000E-00,2.40377E-01,5.24350E-02,2.49900E-04,1.92390E-05,2.98750E-06,4.21400E-07], [0.00000E-00,0.00000E-00,1.83297E-01,9.23970E-02,6.94460E-03,1.08030E-03,2.05670E-04], [0.00000E-00,0.00000E-00,0.00000E-00,7.88511E-02,1.70140E-01,2.58810E-02,4.92970E-03], [0.00000E-00,0.00000E-00,0.00000E-00,3.73330E-05,9.97372E-02,2.06790E-01,2.44780E-02], [0.00000E-00,0.00000E-00,0.00000E-00,0.00000E-00,9.17260E-04,3.16765E-01,2.38770E-01], [0.00000E-00,0.00000E-00,0.00000E-00,0.00000E-00,0.00000E-00,4.97920E-02,1.09912E+00]]], "XSChi": [0.00000E+00,0.00000E+00,0.00000E+00,0.00000E+00,0.00000E+00,0.00000E+00,0.00000E+00] }, { "id": 7, "nom": "Moderator", "XSTotal": [1.59206E-01,4.12970E-01,5.90310E-01,5.84350E-01,7.18000E-01,1.25445E+00,2.65038E+00], "XSNuFission": [0.00000E+00,0.00000E+00,0.00000E+00,0.00000E+00,0.00000E+00,0.00000E+00,0.00000E+00], "XSFission": [0.00000E+00,0.00000E+00,0.00000E+00,0.00000E+00,0.00000E+00,0.00000E+00,0.00000E+00], "XSScatter Matrix": [[[4.44777E-02,1.13400E-01,7.23470E-04,3.74990E-06,5.31840E-08,0.00000E-00,0.00000E-00], [0.00000E-00,2.82334E-01,1.29940E-01,6.23400E-04,4.80020E-05,7.44860E-06,1.04550E-06], [0.00000E-00,0.00000E-00,3.45256E-01,2.24570E-01,1.69990E-02,2.64430E-03,5.03440E-04], [0.00000E-00,0.00000E-00,0.00000E-00,9.10284E-02,4.15510E-01,6.37320E-02,1.21390E-02], [0.00000E-00,0.00000E-00,0.00000E-00,7.14370E-05,1.39138E-01,5.11820E-01,6.12290E-02], [0.00000E-00,0.00000E-00,0.00000E-00,0.00000E-00,2.21570E-03,6.99913E-01,5.37320E-01], [0.00000E-00,0.00000E-00,0.00000E-00,0.00000E-00,0.00000E-00,1.32440E-01,2.48070E+00]]], "XSChi": [0.00000E+00,0.00000E+00,0.00000E+00,0.00000E+00,0.00000E+00,0.00000E+00,0.00000E+00] } ] } }
2.2.2. Generating JSON Input File¶
To facilitate the creation of a new OpenNTP input file, a set of dialog boxes have been developed (Below) which allows users to create the OpenNTP input file in a simpler, faster and interactive. Users can fill up all information about the OpenNTP input file (including: number of group energy, materials, Pin cells, assemblies, type of geometry, multi-group cross sections …) and once they have specified input files in JSON format will be automatically created in the window Text editor by clicking on button Generate Input file.
- Definition of Pin Cells by introducing in each coarse meshes size along the x and y-axis, then the material index and the number of fine mesh.
- inserting the pin cells index into each assembly.
- Definition of the general structure of the reactor core by inserting the assembly indices in their locations.
- Insertion of total multi-group macroscopic cross section data.
- Insertion of fission multi-group macroscopic cross section data
- Insertion of nu-fission multi-group macroscopic cross section data.
- Insertion of scatternig matrix multi-group macroscopic cross section data
- Insertion of fission spectrum data.
2.2.3. Running OpenNTP under a GUI¶
The Run button is used to running the multi-group scheme, and the figure below shows the values of the multiplication factor as a function of the iteration numbers.
2.2.4. Geometry Visualizations¶
The geometry button allowing to plot in two dimensions the geometry to study. The plotting mode of the geometry is based on the presence of an input file. A depiction of the geometry for the example input file given in sub section Creating JSON Input File is illustrated in Figure bellow
2.2.5. Flux Visualizations¶
The Plot button refers to a set of routines programming in fortran and python to plot the scalar flux in space of one or two-dimensional and in each energy group. The figure bellow shows the flux for the example input file given in sub section Creating JSON Input File after clicking on the Plot button.
- The 2D C5G7 benchmark solved with OpenNTP
- Thermal flux
- Fast flux
2.2.6. Pin Power Visualizations¶
Next we will visualize the pin power results obtained from the OpenNTP calculations.
2.2.7. Level symmetric gaussian quadrature sets visualizations¶
The level-symmetric quadrature set is used in the Discrete Ordinates (\(S_{N}\)) method (Lewis and Miller, 1984). The subscript \(N\).refers to the number of directions along each axis with half being positive and half negative. The figure below give the weights and angles used for each set in the 1st octant which will be displayed automatically by clicking on the Ordinate button
2.2.8. Simple Output¶
The following is the corresponding output to the above case. A brief outline of the output file contents is version and run time information, print of input values of the name list variables, print of relevant parameters after setup, calculation run time parametres method, scalar flux solution and output parameters solution to transport equation.
ERSN, UNIVERSITY ABDELMALEK ESSAADI FACULTY OF SCIENCES - TETOUAN, MOROCCO CODE DEVELOPED BY MOHAMED LAHDOUR, PHD STUDENT OpenNTP: SN DISCRETE ORDINATES METHOD DIMENSION: TWO DIMENSIONS (2D) GEOMETRY: CARTESIAN VERSION NUMBER: 1.2 VERSION DATE: 10 September 2020 RAN ON: 2020-09-08 18:58:49.56 (H:M:S) ****************************************************************************
INPUT PARAMETER - VALUES FROM INPUTENERGY GROUPS NUMBER: 7 PIN CELLS NUMBER: 7 ASSEMBLIES NUMBER: 3 X REGIONS NUMBER PIN CELL: 3 Y REGIONS NUMBER PIN CELL: 3 MATERIALS NUMBER: 7 SIZE OF EACH X REGION PIN CELL 1 : 0.15144 0.95712 0.15144 SIZE OF EACH Y REGION PIN CELL 1 : 0.15144 0.95712 0.15144 SIZE OF EACH X REGION PIN CELL 2 : 0.15144 0.95712 0.15144 SIZE OF EACH Y REGION PIN CELL 2 : 0.15144 0.95712 0.15144 SIZE OF EACH X REGION PIN CELL 3 : 0.15144 0.95712 0.15144 SIZE OF EACH Y REGION PIN CELL 3 : 0.15144 0.95712 0.15144 SIZE OF EACH X REGION PIN CELL 4 : 0.15144 0.95712 0.15144 SIZE OF EACH Y REGION PIN CELL 4 : 0.15144 0.95712 0.15144 SIZE OF EACH X REGION PIN CELL 5 : 0.15144 0.95712 0.15144 SIZE OF EACH Y REGION PIN CELL 5 : 0.15144 0.95712 0.15144 SIZE OF EACH X REGION PIN CELL 6 : 0.15144 0.95712 0.15144 SIZE OF EACH Y REGION PIN CELL 6 : 0.15144 0.95712 0.15144 SIZE OF EACH X REGION PIN CELL 7 : 0.15144 0.95712 0.15144 SIZE OF EACH Y REGION PIN CELL 7 : 0.15144 0.95712 0.15144 NUMBER OF DIRECTIONS ALONG EACH AXIS: 2 ORDER LEGENDRE POLYNOMIAL: 0 TOTAL NUMBER OF X FINE MESHES: 612 TOTAL NUMBER OF Y FINE MESHES: 612 CONVERGENCE CRITERION of KEFF AND FLUX: 1.0E-06
CALCULATION RUN-TIME PARAMETERS SNLEVEL SYMMETRIC GAUSSIAN QUADRATURE SETS:
N. ORDER MU ETA PSI WEIGHTS |1 5.77350E-01 5.77350E-01 5.77350E-01 1.00000E+00 |PSEUDO CROSS SECTIONS DATA:
MATERIAL : 1GROUP TOTAL ABSORPTION NU*FISSION SCATTERING FISSION SPECTRUM |1 1.77949E-01 5.04120E-02 2.00599E-02 1.27537E-01 5.87910E-01 |2 3.29805E-01 5.34898E-03 2.02730E-03 3.24456E-01 4.11760E-01 |3 4.80388E-01 2.94480E-02 1.57059E-02 4.50940E-01 3.39060E-04 |4 5.54367E-01 1.01802E-01 4.51830E-02 4.52565E-01 1.17610E-07 |5 3.11801E-01 4.04000E-02 4.33421E-02 2.71401E-01 0.00000E+00 |6 3.95168E-01 1.29366E-01 2.02090E-01 2.65802E-01 0.00000E+00 |7 5.64406E-01 2.91326E-01 5.25711E-01 2.73080E-01 0.00000E+00 |MATERIAL : 2GROUP TOTAL ABSORPTION NU*FISSION SCATTERING FISSION SPECTRUM |1 1.78731E-01 4.98550E-02 2.17530E-02 1.28876E-01 5.87910E-01 |2 3.30849E-01 5.39699E-03 2.53510E-03 3.25452E-01 4.11760E-01 |3 4.83772E-01 3.05840E-02 1.62679E-02 4.53188E-01 3.39060E-04 |4 5.66922E-01 1.09749E-01 6.54741E-02 4.57173E-01 1.17610E-07 |5 4.26227E-01 1.49413E-01 3.07241E-02 2.76814E-01 0.00000E+00 |6 6.78997E-01 4.26035E-01 6.66651E-01 2.52962E-01 0.00000E+00 |7 6.82852E-01 4.17845E-01 7.13990E-01 2.65007E-01 0.00000E+00 |MATERIAL : 3GROUP TOTAL ABSORPTION NU*FISSION SCATTERING FISSION SPECTRUM |1 1.81323E-01 5.08660E-02 2.38140E-02 1.30457E-01 5.87910E-01 |2 3.34368E-01 5.93999E-03 3.85869E-03 3.28428E-01 4.11760E-01 |3 4.93785E-01 3.54140E-02 2.41340E-02 4.58371E-01 3.39060E-04 |4 5.91216E-01 1.27507E-01 9.43662E-02 4.63709E-01 1.17610E-07 |5 4.74198E-01 1.91885E-01 4.57699E-02 2.82313E-01 0.00000E+00 |6 8.33601E-01 5.83850E-01 9.28181E-01 2.49751E-01 0.00000E+00 |7 8.53603E-01 5.94074E-01 1.04320E+00 2.59529E-01 0.00000E+00 |MATERIAL : 4GROUP TOTAL ABSORPTION NU*FISSION SCATTERING FISSION SPECTRUM |1 1.83045E-01 5.15410E-02 2.51860E-02 1.31504E-01 5.87910E-01 |2 3.36705E-01 6.30200E-03 4.73951E-03 3.30403E-01 4.11760E-01 |3 5.00507E-01 3.87150E-02 2.94781E-02 4.61792E-01 3.39060E-04 |4 6.06174E-01 1.38153E-01 1.12250E-01 4.68021E-01 1.17610E-07 |5 5.02754E-01 2.16983E-01 5.53030E-02 2.85771E-01 0.00000E+00 |6 9.21028E-01 6.73414E-01 1.07500E+00 2.47614E-01 0.00000E+00 |7 9.55231E-01 6.99138E-01 1.23930E+00 2.56093E-01 0.00000E+00 |MATERIAL : 5GROUP TOTAL ABSORPTION NU*FISSION SCATTERING FISSION SPECTRUM |1 1.26032E-01 5.98661E-02 1.32340E-08 6.61659E-02 5.87910E-01 |2 2.93160E-01 5.27830E-02 1.43450E-08 2.40377E-01 4.11760E-01 |3 2.84250E-01 1.00825E-01 1.12860E-06 1.83425E-01 3.39060E-04 |4 2.81020E-01 2.01943E-01 1.27630E-05 7.90769E-02 1.17610E-07 |5 3.34460E-01 2.34703E-01 3.53850E-07 9.97570E-02 0.00000E+00 |6 5.65640E-01 2.48866E-01 1.74010E-06 3.16774E-01 0.00000E+00 |7 1.17214E+00 7.30400E-02 5.06330E-06 1.09910E+00 0.00000E+00 |MATERIAL : 6GROUP TOTAL ABSORPTION NU*FISSION SCATTERING FISSION SPECTRUM |1 1.26032E-01 5.98661E-02 0.00000E+00 6.61659E-02 0.00000E+00 |2 2.93160E-01 5.27830E-02 0.00000E+00 2.40377E-01 0.00000E+00 |3 2.84240E-01 1.00943E-01 0.00000E+00 1.83297E-01 0.00000E+00 |4 2.80960E-01 2.02109E-01 0.00000E+00 7.88511E-02 0.00000E+00 |5 3.34440E-01 2.34703E-01 0.00000E+00 9.97372E-02 0.00000E+00 |6 5.65640E-01 2.48875E-01 0.00000E+00 3.16765E-01 0.00000E+00 |7 1.17215E+00 7.30300E-02 0.00000E+00 1.09912E+00 0.00000E+00 |MATERIAL : 7GROUP TOTAL ABSORPTION NU*FISSION SCATTERING FISSION SPECTRUM |1 1.59206E-01 1.14728E-01 0.00000E+00 4.44777E-02 0.00000E+00 |2 4.12970E-01 1.30636E-01 0.00000E+00 2.82334E-01 0.00000E+00 |3 5.90310E-01 2.45054E-01 0.00000E+00 3.45256E-01 0.00000E+00 |4 5.84350E-01 4.93322E-01 0.00000E+00 9.10284E-02 0.00000E+00 |5 7.18000E-01 5.78862E-01 0.00000E+00 1.39138E-01 0.00000E+00 |6 1.25445E+00 5.54537E-01 0.00000E+00 6.99913E-01 0.00000E+00 |7 2.65038E+00 1.69680E-01 0.00000E+00 2.48070E+00 0.00000E+00 |REACTION RATE SOLUTION IN THE REACTOR COREREACTION RATE SOLUTION PER MATERIAL PER ENERGY GROUP:
MATERIAL : 1GROUP TOTAL ABSORPTION NU*FISSION SCATTERING |1 3.42917E+03 9.71571E+02 3.86524E+02 2.45688E+03 |2 1.27899E+04 2.07438E+02 7.86038E+01 1.25824E+04 |3 8.34259E+03 5.11648E+02 2.72753E+02 7.83443E+03 |4 3.48110E+03 6.39081E+02 2.83628E+02 2.84128E+03 |5 1.34611E+03 1.74414E+02 1.87113E+02 1.17151E+03 |6 2.01968E+03 6.61085E+02 1.03271E+03 1.35834E+03 |7 4.86264E+03 2.50996E+03 4.52916E+03 2.35261E+03 |MATERIAL : 2GROUP TOTAL ABSORPTION NU*FISSION SCATTERING |1 3.44425E+03 9.60833E+02 4.19184E+02 2.48271E+03 |2 1.28302E+04 2.09302E+02 9.83113E+01 1.26208E+04 |3 8.40133E+03 5.31117E+02 2.82521E+02 7.87375E+03 |4 3.55991E+03 6.89010E+02 4.11118E+02 2.87026E+03 |5 1.84043E+03 6.45002E+02 1.32612E+02 1.19493E+03 |6 3.47037E+03 2.17707E+03 3.40718E+03 1.29273E+03 |7 5.88358E+03 3.60036E+03 6.15211E+03 2.28311E+03 |MATERIAL : 3GROUP TOTAL ABSORPTION NU*FISSION SCATTERING |1 3.49428E+03 9.80328E+02 4.58921E+02 2.51322E+03 |2 1.29668E+04 2.30375E+02 1.49605E+02 1.27365E+04 |3 8.57538E+03 6.15047E+02 4.19251E+02 7.96369E+03 |4 3.71251E+03 8.00626E+02 5.92393E+02 2.91136E+03 |5 2.04773E+03 8.28504E+02 1.97599E+02 1.21863E+03 |6 4.25953E+03 2.98372E+03 4.74351E+03 1.27631E+03 |7 7.35506E+03 5.11836E+03 8.98741E+03 2.23596E+03 |MATERIAL : 4GROUP TOTAL ABSORPTION NU*FISSION SCATTERING |1 3.52753E+03 9.93341E+02 4.85400E+02 2.53340E+03 |2 1.30574E+04 2.44422E+02 1.83782E+02 1.28131E+04 |3 8.69198E+03 6.72409E+02 5.12002E+02 8.02324E+03 |4 3.80659E+03 8.67529E+02 7.04701E+02 2.93849E+03 |5 2.16992E+03 9.36958E+02 2.38812E+02 1.23355E+03 |6 4.70690E+03 3.44177E+03 5.49342E+03 1.26539E+03 |7 8.23000E+03 6.02415E+03 1.06777E+04 2.20633E+03 |MATERIAL : 5GROUP TOTAL ABSORPTION NU*FISSION SCATTERING |1 2.42788E+03 1.15321E+03 2.54917E-04 1.27469E+03 |2 1.13672E+04 2.04728E+03 5.56153E-04 9.31939E+03 |3 4.93669E+03 1.75156E+03 1.96006E-02 3.18634E+03 |4 1.76467E+03 1.26774E+03 8.01221E-02 4.96600E+02 |5 1.44389E+03 1.01351E+03 1.52772E-03 4.30738E+02 |6 2.89058E+03 1.27179E+03 8.89280E-03 1.61905E+03 |7 1.00986E+04 6.29288E+02 4.36254E-02 9.46905E+03 |MATERIAL : 6GROUP TOTAL ABSORPTION NU*FISSION SCATTERING |1 2.42788E+03 1.15321E+03 0.00000E+00 1.27469E+03 |2 1.13672E+04 2.04728E+03 0.00000E+00 9.31939E+03 |3 4.93652E+03 1.75363E+03 0.00000E+00 3.18409E+03 |4 1.76430E+03 1.26877E+03 0.00000E+00 4.95182E+02 |5 1.44381E+03 1.01351E+03 0.00000E+00 4.30652E+02 |6 2.89058E+03 1.27183E+03 0.00000E+00 1.61901E+03 |7 1.00987E+04 6.29199E+02 0.00000E+00 9.46922E+03 |MATERIAL : 7GROUP TOTAL ABSORPTION NU*FISSION SCATTERING |1 3.06762E+03 2.20998E+03 0.00000E+00 8.57110E+02 |2 1.60175E+04 5.06499E+03 0.00000E+00 1.09471E+04 |3 1.02519E+04 4.25561E+03 0.00000E+00 5.99732E+03 |4 3.66932E+03 3.09753E+03 0.00000E+00 5.71397E+02 |5 3.09984E+03 2.49876E+03 0.00000E+00 6.00612E+02 |6 6.41142E+03 2.83379E+03 0.00000E+00 3.57721E+03 |7 2.28357E+04 1.46202E+03 0.00000E+00 2.13735E+04 |NORMALIZED PIN POWER1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 511 2.09528E+00 2.10421E+00 2.10391E+00 2.11720E+00 2.12021E+00 2.10410E+00 2.09312E+00 2.05748E+00 2.00205E+00 1.96645E+00 1.91224E+00 1.83495E+00 1.76044E+00 1.66325E+00 1.54226E+00 1.40107E+00 1.19331E+00 1.45717E+00 1.16837E+00 1.01340E+00 9.33181E-01 8.73300E-01 8.17304E-01 7.73931E-01 7.21438E-01 6.60376E-01 6.14975E-01 5.66240E-01 5.10284E-01 4.63881E-01 4.22522E-01 3.97696E-01 4.42052E-01 6.78197E-01 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+002 2.10421E+00 2.10866E+00 2.13371E+00 2.15146E+00 2.21911E+00 2.24246E+00 2.18074E+00 2.13418E+00 2.11206E+00 2.04175E+00 1.98984E+00 1.95415E+00 1.84431E+00 1.69095E+00 1.56577E+00 1.40581E+00 1.19902E+00 1.44589E+00 1.49025E+00 1.28649E+00 1.18554E+00 1.17547E+00 1.13362E+00 1.03957E+00 9.52145E-01 8.95499E-01 8.21632E-01 7.50470E-01 7.02115E-01 6.29741E-01 5.35563E-01 5.03193E-01 5.64870E-01 6.72733E-01 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+003 2.10391E+00 2.13371E+00 2.22062E+00 2.28330E+00 2.36335E+00 0.00000E+00 2.22512E+00 2.17963E+00 0.00000E+00 2.08640E+00 2.02912E+00 0.00000E+00 1.96254E+00 1.79555E+00 1.63496E+00 1.42469E+00 1.19635E+00 1.43002E+00 1.45907E+00 1.31151E+00 1.24217E+00 1.23569E+00 0.00000E+00 9.96718E-01 9.10998E-01 0.00000E+00 7.88896E-01 7.16692E-01 0.00000E+00 6.53067E-01 5.60026E-01 5.18524E-01 5.50793E-01 6.65024E-01 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+004 2.11720E+00 2.15147E+00 2.28330E+00 0.00000E+00 2.40149E+00 2.28014E+00 2.22009E+00 2.17470E+00 2.13842E+00 2.08087E+00 2.02599E+00 1.98690E+00 1.99304E+00 0.00000E+00 1.68360E+00 1.43862E+00 1.20513E+00 1.43249E+00 1.45777E+00 1.33535E+00 0.00000E+00 1.23097E+00 1.17754E+00 1.07889E+00 9.91385E-01 9.21733E-01 8.54350E-01 7.79980E-01 7.28006E-01 6.45416E-01 0.00000E+00 5.28154E-01 5.50067E-01 6.64967E-01 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+005 2.12021E+00 2.21911E+00 2.36335E+00 2.40149E+00 2.35199E+00 2.27141E+00 2.20874E+00 2.16131E+00 2.12611E+00 2.06795E+00 2.01685E+00 1.98018E+00 1.95303E+00 1.88880E+00 1.74364E+00 1.49008E+00 1.20856E+00 1.43033E+00 1.53227E+00 1.41485E+00 1.31180E+00 1.31823E+00 1.14433E+00 1.04649E+00 9.60373E-01 8.94807E-01 8.27900E-01 7.57091E-01 7.07660E-01 6.92804E-01 5.84556E-01 5.57218E-01 5.81303E-01 6.63148E-01 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+006 2.10410E+00 2.24246E+00 0.00000E+00 2.28014E+00 2.27141E+00 0.00000E+00 2.19585E+00 2.14935E+00 0.00000E+00 2.05843E+00 2.00470E+00 0.00000E+00 1.89032E+00 1.79213E+00 0.00000E+00 1.50883E+00 1.20028E+00 1.42150E+00 1.55499E+00 0.00000E+00 1.33836E+00 1.20741E+00 0.00000E+00 1.03772E+00 9.47084E-01 0.00000E+00 8.21715E-01 7.46609E-01 0.00000E+00 6.45013E-01 5.91050E-01 0.00000E+00 5.90432E-01 6.59256E-01 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+007 2.09312E+00 2.18074E+00 2.22512E+00 2.22009E+00 2.20874E+00 2.19585E+00 2.15012E+00 2.10964E+00 2.07758E+00 2.02000E+00 1.96546E+00 1.91851E+00 1.83968E+00 1.74818E+00 1.64091E+00 1.46789E+00 1.19846E+00 1.41968E+00 1.51124E+00 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P I N C E L L G R O U P 11 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 511 3.03295E-02 3.18099E-02 3.05988E-02 3.02372E-02 3.13358E-02 3.02974E-02 2.91017E-02 2.88324E-02 2.83134E-02 2.76780E-02 2.65596E-02 2.63703E-02 2.60822E-02 2.39436E-02 2.30762E-02 2.28668E-02 2.08270E-02 1.99018E-02 1.96298E-02 1.78794E-02 1.67656E-02 1.64053E-02 1.50844E-02 1.37879E-02 1.29025E-02 1.20468E-02 1.11911E-02 1.01233E-02 9.43817E-03 8.76895E-03 7.55893E-03 6.74821E-03 6.05542E-03 4.85570E-03 3.70643E-03 2.86336E-03 2.03162E-03 1.49882E-03 1.15340E-03 8.20262E-04 6.03396E-04 4.60536E-04 3.29710E-04 2.41261E-04 1.83271E-04 1.38756E-04 1.04692E-04 7.65332E-05 5.68856E-05 4.28897E-05 2.97782E-052 3.18099E-02 2.90329E-02 3.16302E-02 3.16197E-02 2.91078E-02 3.01865E-02 2.94357E-02 2.83717E-02 2.88060E-02 2.69989E-02 2.69398E-02 2.63732E-02 2.41502E-02 2.50815E-02 2.38924E-02 2.08523E-02 2.17398E-02 2.07679E-02 1.82335E-02 1.86589E-02 1.76123E-02 1.54841E-02 1.51746E-02 1.40204E-02 1.29153E-02 1.23579E-02 1.09597E-02 1.03445E-02 9.55459E-03 8.24300E-03 7.94461E-03 7.02663E-03 5.68259E-03 5.04165E-03 3.82009E-03 2.62440E-03 2.11115E-03 1.56311E-03 1.06387E-03 8.47945E-04 6.25740E-04 4.30734E-04 3.34041E-04 2.49300E-04 1.81856E-04 1.37882E-04 1.01592E-04 7.80946E-05 5.80512E-05 3.99612E-05 3.09971E-053 3.05988E-02 3.16302E-02 2.97242E-02 3.08117E-02 3.02838E-02 2.74806E-02 3.00775E-02 2.97244E-02 2.60896E-02 2.83831E-02 2.74304E-02 2.39801E-02 2.52331E-02 2.44403E-02 2.24385E-02 2.26794E-02 2.08863E-02 2.00415E-02 1.98266E-02 1.78078E-02 1.73731E-02 1.62201E-02 1.40384E-02 1.44986E-02 1.35499E-02 1.13770E-02 1.15958E-02 1.05885E-02 8.80873E-03 8.66278E-03 7.83919E-03 6.71122E-03 6.13664E-03 4.93226E-03 3.62962E-03 2.81584E-03 2.02384E-03 1.49967E-03 1.14845E-03 8.12809E-04 6.05499E-04 4.52985E-04 3.24422E-04 2.50809E-04 1.86244E-04 1.32819E-04 1.03022E-04 7.72919E-05 5.53313E-05 4.24729E-05 3.03283E-054 3.02372E-02 3.16197E-02 3.08117E-02 2.77923E-02 2.95820E-02 3.04841E-02 2.83620E-02 2.81293E-02 2.91713E-02 2.69571E-02 2.58403E-02 2.65759E-02 2.46872E-02 2.20581E-02 2.32552E-02 2.26517E-02 2.06570E-02 1.98996E-02 1.98754E-02 1.84402E-02 1.60140E-02 1.59835E-02 1.56383E-02 1.38675E-02 1.29680E-02 1.26870E-02 1.11823E-02 1.01086E-02 9.77643E-03 8.53424E-03 7.20063E-03 7.00398E-03 6.16140E-03 4.81114E-03 3.69508E-03 2.79643E-03 1.99831E-03 1.48641E-03 1.14388E-03 8.19453E-04 5.87539E-04 4.54825E-04 3.37816E-04 2.41030E-04 1.82373E-04 1.38779E-04 1.01191E-04 7.32198E-05 5.69006E-05 4.24688E-05 2.97316E-055 3.13358E-02 2.91078E-02 3.02838E-02 2.95820E-02 2.82749E-02 3.03144E-02 2.83857E-02 2.77098E-02 2.88550E-02 2.64807E-02 2.59638E-02 2.64664E-02 2.35396E-02 2.34764E-02 2.28519E-02 2.09083E-02 2.14758E-02 2.06204E-02 1.84217E-02 1.82948E-02 1.70002E-02 1.55761E-02 1.56469E-02 1.39468E-02 1.28981E-02 1.26477E-02 1.10462E-02 1.02418E-02 9.79610E-03 8.28449E-03 7.63903E-03 6.91802E-03 5.76172E-03 5.02694E-03 3.77125E-03 2.61800E-03 2.05297E-03 1.52514E-03 1.05857E-03 8.26702E-04 6.15297E-04 4.37530E-04 3.35827E-04 2.44773E-04 1.78590E-04 1.38386E-04 9.88498E-05 7.47060E-05 5.65618E-05 4.03429E-05 3.06761E-056 3.02974E-02 3.01865E-02 2.74806E-02 3.04841E-02 3.03144E-02 2.57985E-02 2.97062E-02 2.91838E-02 2.45925E-02 2.79135E-02 2.71766E-02 2.25486E-02 2.52628E-02 2.41949E-02 2.07431E-02 2.17154E-02 2.08609E-02 1.99758E-02 1.91983E-02 1.67883E-02 1.75962E-02 1.65948E-02 1.36367E-02 1.46128E-02 1.35961E-02 1.10082E-02 1.16687E-02 1.07206E-02 8.53363E-03 8.87405E-03 7.96817E-03 6.27515E-03 5.96684E-03 4.96609E-03 3.61951E-03 2.76724E-03 2.00055E-03 1.46214E-03 1.10123E-03 7.95575E-04 6.15114E-04 4.52934E-04 3.15093E-04 2.47661E-04 1.84562E-04 1.26797E-04 1.02385E-04 7.65534E-05 5.32834E-05 4.13524E-05 3.01085E-057 2.91017E-02 2.94357E-02 3.00775E-02 2.83620E-02 2.83857E-02 2.97062E-02 2.70873E-02 2.69214E-02 2.82280E-02 2.57782E-02 2.47915E-02 2.59664E-02 2.36631E-02 2.25293E-02 2.28009E-02 2.12222E-02 2.00023E-02 1.94321E-02 1.88079E-02 1.82711E-02 1.65187E-02 1.57231E-02 1.55086E-02 1.35515E-02 1.27128E-02 1.25601E-02 1.09222E-02 9.94660E-03 9.74743E-03 8.40044E-03 7.44948E-03 6.98519E-03 5.83367E-03 4.68944E-03 3.70118E-03 2.76317E-03 1.96931E-03 1.44263E-03 1.09826E-03 8.19479E-04 5.85219E-04 4.41874E-04 3.32500E-04 2.36160E-04 1.75378E-04 1.36227E-04 9.82707E-05 7.34142E-05 5.63342E-05 4.02498E-05 2.87438E-058 2.88324E-02 2.83717E-02 2.97244E-02 2.81293E-02 2.77098E-02 2.91839E-02 2.69214E-02 2.61792E-02 2.77279E-02 2.50972E-02 2.46151E-02 2.55205E-02 2.31446E-02 2.23729E-02 2.25868E-02 2.05331E-02 1.99841E-02 1.92670E-02 1.82132E-02 1.81342E-02 1.64932E-02 1.54108E-02 1.53404E-02 1.35331E-02 1.25069E-02 1.24364E-02 1.07687E-02 9.93540E-03 9.66555E-03 8.25511E-03 7.43453E-03 6.93580E-03 5.74106E-03 4.76311E-03 3.64788E-03 2.63126E-03 1.99159E-03 1.47912E-03 1.07388E-03 8.07483E-04 5.87764E-04 4.27770E-04 3.30068E-04 2.34322E-04 1.73164E-04 1.35544E-04 9.77692E-05 7.24796E-05 5.57890E-05 3.96995E-05 2.87331E-059 2.83134E-02 2.88060E-02 2.60896E-02 2.91713E-02 2.88550E-02 2.45925E-02 2.82280E-02 2.77279E-02 2.27755E-02 2.65274E-02 2.58383E-02 2.15071E-02 2.41484E-02 2.32974E-02 1.98004E-02 2.10076E-02 1.97956E-02 1.88983E-02 1.84909E-02 1.62545E-02 1.70762E-02 1.60620E-02 1.32239E-02 1.42149E-02 1.32359E-02 1.05522E-02 1.13852E-02 1.04775E-02 8.30742E-03 8.66079E-03 7.77896E-03 6.10737E-03 5.93866E-03 4.89464E-03 3.43853E-03 2.62682E-03 1.97657E-03 1.48183E-03 1.08694E-03 7.69037E-04 5.89611E-04 4.37103E-04 2.99632E-04 2.41066E-04 1.80044E-04 1.23930E-04 1.00080E-04 7.45018E-05 5.12954E-05 4.03723E-05 2.92304E-0510 2.76780E-02 2.69989E-02 2.83831E-02 2.69571E-02 2.64807E-02 2.79135E-02 2.57782E-02 2.50972E-02 2.65274E-02 2.39586E-02 2.36126E-02 2.44740E-02 2.21747E-02 2.15645E-02 2.17387E-02 1.97210E-02 1.93416E-02 1.86538E-02 1.75642E-02 1.75324E-02 1.60004E-02 1.49804E-02 1.49186E-02 1.31773E-02 1.22420E-02 1.21439E-02 1.05009E-02 9.72092E-03 9.45119E-03 8.06926E-03 7.28476E-03 6.79705E-03 5.62682E-03 4.67104E-03 3.57782E-03 2.58519E-03 1.95559E-03 1.45179E-03 1.06084E-03 7.93128E-04 5.71207E-04 4.11566E-04 3.18566E-04 2.29416E-04 1.72307E-04 1.32840E-04 9.43380E-05 7.12395E-05 5.42463E-05 3.81838E-05 2.80968E-0511 2.65596E-02 2.69398E-02 2.74304E-02 2.58403E-02 2.59638E-02 2.71766E-02 2.47915E-02 2.46151E-02 2.58383E-02 2.36126E-02 2.26443E-02 2.38568E-02 2.18226E-02 2.07429E-02 2.11121E-02 1.97373E-02 1.85783E-02 1.81401E-02 1.75938E-02 1.70851E-02 1.55148E-02 1.48237E-02 1.46770E-02 1.29005E-02 1.20801E-02 1.19739E-02 1.04270E-02 9.48302E-03 9.32424E-03 8.04300E-03 7.13201E-03 6.71083E-03 5.60128E-03 4.50228E-03 3.56970E-03 2.66273E-03 1.89832E-03 1.39850E-03 1.05864E-03 7.87221E-04 5.51826E-04 4.13421E-04 3.14660E-04 2.26411E-04 1.68181E-04 1.30982E-04 9.46217E-05 6.87430E-05 5.33770E-05 3.82379E-05 2.67301E-0512 2.63702E-02 2.63732E-02 2.39801E-02 2.65758E-02 2.64664E-02 2.25486E-02 2.59664E-02 2.55205E-02 2.15071E-02 2.44740E-02 2.38568E-02 1.97514E-02 2.23111E-02 2.14606E-02 1.84323E-02 1.94291E-02 1.87299E-02 1.79346E-02 1.73756E-02 1.52765E-02 1.60226E-02 1.52042E-02 1.26123E-02 1.35176E-02 1.26180E-02 1.02340E-02 1.08859E-02 1.00216E-02 7.97714E-03 8.32845E-03 7.49387E-03 5.88643E-03 5.61906E-03 4.69307E-03 3.41314E-03 2.62020E-03 1.90281E-03 1.38338E-03 1.03779E-03 7.35117E-04 5.68727E-04 4.20030E-04 2.92720E-04 2.30082E-04 1.71712E-04 1.19352E-04 9.56249E-05 7.09627E-05 4.86152E-05 3.78770E-05 2.77296E-0513 2.60822E-02 2.41502E-02 2.52331E-02 2.46872E-02 2.35396E-02 2.52628E-02 2.36631E-02 2.31446E-02 2.41484E-02 2.21747E-02 2.18226E-02 2.23111E-02 1.98015E-02 1.99553E-02 1.95297E-02 1.79341E-02 1.85696E-02 1.79412E-02 1.61034E-02 1.61256E-02 1.50938E-02 1.39413E-02 1.40288E-02 1.25719E-02 1.16829E-02 1.14945E-02 1.00632E-02 9.37463E-03 8.99412E-03 7.62267E-03 7.03135E-03 6.37801E-03 5.32490E-03 4.65454E-03 3.49873E-03 2.43400E-03 1.90881E-03 1.41092E-03 9.57798E-04 7.48880E-04 5.58116E-04 4.01128E-04 3.06353E-04 2.20863E-04 1.63190E-04 1.25128E-04 8.94696E-05 6.80226E-05 5.06980E-05 3.56070E-05 2.70573E-0514 2.39436E-02 2.50815E-02 2.44403E-02 2.20581E-02 2.34764E-02 2.41949E-02 2.25293E-02 2.23729E-02 2.32974E-02 2.15645E-02 2.07429E-02 2.14606E-02 1.99553E-02 1.77833E-02 1.90553E-02 1.86886E-02 1.71349E-02 1.67476E-02 1.68506E-02 1.57470E-02 1.39111E-02 1.38867E-02 1.36503E-02 1.21725E-02 1.14441E-02 1.12692E-02 9.97278E-03 9.04874E-03 8.81448E-03 7.68671E-03 6.50473E-03 6.36202E-03 5.59202E-03 4.36240E-03 3.37322E-03 2.54719E-03 1.80518E-03 1.32179E-03 1.01721E-03 7.27827E-04 5.25608E-04 4.04734E-04 3.02223E-04 2.16022E-04 1.60251E-04 1.22263E-04 8.90239E-05 6.38926E-05 5.01356E-05 3.66854E-05 2.50342E-0515 2.30762E-02 2.38924E-02 2.24385E-02 2.32552E-02 2.28519E-02 2.07432E-02 2.28009E-02 2.25868E-02 1.98004E-02 2.17387E-02 2.11121E-02 1.84323E-02 1.95297E-02 1.90553E-02 1.73993E-02 1.79070E-02 1.67553E-02 1.61953E-02 1.62997E-02 1.49191E-02 1.45469E-02 1.37238E-02 1.19465E-02 1.24135E-02 1.16870E-02 9.86568E-03 1.01413E-02 9.32422E-03 7.74320E-03 7.67759E-03 6.98354E-03 5.98331E-03 5.48077E-03 4.41408E-03 3.22800E-03 2.50024E-03 1.76045E-03 1.29928E-03 1.00348E-03 7.13037E-04 5.25935E-04 3.95190E-04 2.84262E-04 2.18602E-04 1.61750E-04 1.13642E-04 8.75251E-05 6.57302E-05 4.64000E-05 3.57044E-05 2.57927E-0516 2.28668E-02 2.08523E-02 2.26794E-02 2.26517E-02 2.09082E-02 2.17154E-02 2.12222E-02 2.05331E-02 2.10076E-02 1.97210E-02 1.97373E-02 1.94291E-02 1.79341E-02 1.86886E-02 1.79069E-02 1.56507E-02 1.66742E-02 1.62563E-02 1.45983E-02 1.50214E-02 1.43312E-02 1.26988E-02 1.25698E-02 1.17123E-02 1.08792E-02 1.04940E-02 9.38620E-03 8.89338E-03 8.26782E-03 7.17085E-03 6.94382E-03 6.15462E-03 5.00640E-03 4.42575E-03 3.32551E-03 2.21952E-03 1.79927E-03 1.33684E-03 9.07611E-04 7.24116E-04 5.33096E-04 3.67535E-04 2.84668E-04 2.11541E-04 1.54959E-04 1.15658E-04 8.38873E-05 6.37977E-05 4.71096E-05 3.29584E-05 2.50925E-0517 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2.90675E-06P I N C E L L G R O U P 31 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 511 2.94806E-02 2.94762E-02 2.92950E-02 2.90814E-02 2.88279E-02 2.84241E-02 2.79515E-02 2.74508E-02 2.68726E-02 2.62426E-02 2.55560E-02 2.48304E-02 2.40513E-02 2.31660E-02 2.22527E-02 2.13390E-02 2.03328E-02 1.93366E-02 1.83665E-02 1.73286E-02 1.63286E-02 1.53632E-02 1.43826E-02 1.34308E-02 1.25129E-02 1.15865E-02 1.06901E-02 9.82330E-03 8.95375E-03 8.09619E-03 7.23954E-03 6.37039E-03 5.51262E-03 4.66003E-03 3.79122E-03 2.90097E-03 2.13368E-03 1.54882E-03 1.12035E-03 8.04394E-04 5.79251E-04 4.19033E-04 3.02667E-04 2.19491E-04 1.60056E-04 1.16885E-04 8.52080E-05 6.15175E-05 4.34815E-05 2.89806E-05 1.60629E-052 2.94762E-02 2.93081E-02 2.92523E-02 2.90509E-02 2.87252E-02 2.83811E-02 2.79767E-02 2.74291E-02 2.68456E-02 2.62482E-02 2.55520E-02 2.47857E-02 2.39921E-02 2.31406E-02 2.22254E-02 2.12374E-02 2.03312E-02 1.93384E-02 1.82495E-02 1.72843E-02 1.62928E-02 1.53050E-02 1.43766E-02 1.34576E-02 1.24738E-02 1.15626E-02 1.07072E-02 9.79575E-03 8.92960E-03 8.09961E-03 7.21524E-03 6.35584E-03 5.49874E-03 4.65809E-03 3.79546E-03 2.87988E-03 2.13676E-03 1.55211E-03 1.11279E-03 8.05122E-04 5.80027E-04 4.16728E-04 3.02563E-04 2.19845E-04 1.59854E-04 1.16668E-04 8.49194E-05 6.15218E-05 4.34861E-05 2.87790E-05 1.60930E-053 2.92950E-02 2.92524E-02 2.91103E-02 2.88757E-02 2.86533E-02 2.84941E-02 2.78155E-02 2.73084E-02 2.69987E-02 2.61278E-02 2.54141E-02 2.48946E-02 2.39094E-02 2.30121E-02 2.21554E-02 2.11999E-02 2.02262E-02 1.92388E-02 1.82280E-02 1.72231E-02 1.62345E-02 1.53222E-02 1.44990E-02 1.33674E-02 1.24160E-02 1.16803E-02 1.06450E-02 9.74334E-03 9.01442E-03 8.06194E-03 7.19564E-03 6.37363E-03 5.48713E-03 4.64263E-03 3.77533E-03 2.88744E-03 2.12579E-03 1.54338E-03 1.11606E-03 8.01037E-04 5.77230E-04 4.17113E-04 3.01460E-04 2.19492E-04 1.59788E-04 1.16146E-04 8.47548E-05 6.12918E-05 4.32209E-05 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1.53142E-05 1.50897E-05 1.48374E-05 1.46668E-05 1.44049E-05 1.40707E-05 1.38290E-05 1.34967E-05 1.30859E-05 1.27475E-05 1.23860E-05 1.20167E-05 1.17151E-05 1.13841E-05 1.10419E-05 1.07140E-05 1.03857E-05 1.01105E-05 9.79059E-06 9.44678E-06 9.17304E-06 8.85101E-06 8.51905E-06 8.22738E-06 7.90508E-06 7.57436E-06 7.24505E-06 6.91359E-06 6.58793E-06 6.27046E-06 5.94692E-06 5.60714E-06 5.24762E-06 4.91556E-06 4.60182E-06 4.26158E-06 3.88792E-06 3.57039E-06 3.20563E-06 2.80146E-06 2.34920E-06 1.83105E-06 1.19770E-06P I N C E L L G R O U P 41 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 511 1.06299E-02 1.05870E-02 1.05604E-02 1.05290E-02 1.03902E-02 1.02771E-02 1.01898E-02 1.00018E-02 9.75436E-03 9.55408E-03 9.32244E-03 8.98794E-03 8.67835E-03 8.40268E-03 8.02992E-03 7.65497E-03 7.28785E-03 6.87034E-03 6.46556E-03 6.09381E-03 5.75096E-03 5.38261E-03 5.05237E-03 4.76049E-03 4.43858E-03 4.08666E-03 3.77810E-03 3.48443E-03 3.15110E-03 2.84173E-03 2.56554E-03 2.26359E-03 1.99187E-03 1.77963E-03 1.60223E-03 1.31701E-03 1.01130E-03 7.50924E-04 5.49025E-04 3.97219E-04 2.86852E-04 2.07417E-04 1.49894E-04 1.08624E-04 7.90159E-05 5.75450E-05 4.18151E-05 3.00829E-05 2.11179E-05 1.39008E-05 7.59536E-062 1.05870E-02 1.06359E-02 1.05376E-02 1.04756E-02 1.05563E-02 1.04048E-02 1.02872E-02 1.00857E-02 9.79806E-03 9.66420E-03 9.38895E-03 9.08665E-03 8.83645E-03 8.35569E-03 8.01267E-03 7.70448E-03 7.26222E-03 6.84093E-03 6.43774E-03 6.02029E-03 5.66714E-03 5.42581E-03 5.09325E-03 4.78568E-03 4.41795E-03 4.06603E-03 3.80825E-03 3.46755E-03 3.15562E-03 2.88809E-03 2.52042E-03 2.23583E-03 1.99565E-03 1.77099E-03 1.60064E-03 1.31420E-03 1.01088E-03 7.51077E-04 5.46940E-04 3.97117E-04 2.86868E-04 2.06717E-04 1.49776E-04 1.08664E-04 7.89280E-05 5.74532E-05 4.17154E-05 3.00609E-05 2.11017E-05 1.38447E-05 7.59576E-063 1.05604E-02 1.05376E-02 1.06786E-02 1.05365E-02 1.06156E-02 1.09764E-02 1.01639E-02 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7.88765E-07 4.92899E-07P I N C E L L G R O U P 51 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 511 7.98148E-03 7.94046E-03 7.93179E-03 7.91164E-03 7.81252E-03 7.74142E-03 7.68750E-03 7.54762E-03 7.36437E-03 7.21114E-03 7.03072E-03 6.76688E-03 6.51297E-03 6.27990E-03 5.95680E-03 5.57615E-03 5.12393E-03 4.48631E-03 4.00542E-03 3.68509E-03 3.44582E-03 3.19617E-03 3.00092E-03 2.85079E-03 2.65769E-03 2.43376E-03 2.25591E-03 2.08588E-03 1.87339E-03 1.68781E-03 1.53971E-03 1.37209E-03 1.24148E-03 1.18010E-03 1.16261E-03 1.01505E-03 8.08477E-04 6.13390E-04 4.54042E-04 3.31305E-04 2.40362E-04 1.74136E-04 1.26043E-04 9.13808E-05 6.64159E-05 4.83028E-05 3.50319E-05 2.51392E-05 1.75606E-05 1.14371E-05 6.03227E-062 7.94046E-03 7.99257E-03 7.91704E-03 7.87387E-03 7.92347E-03 7.82889E-03 7.72142E-03 7.58205E-03 7.38646E-03 7.25691E-03 7.05518E-03 6.83588E-03 6.61321E-03 6.24871E-03 5.94464E-03 5.62558E-03 5.10318E-03 4.45295E-03 3.96354E-03 3.58611E-03 3.33522E-03 3.23296E-03 3.03126E-03 2.84420E-03 2.62104E-03 2.39991E-03 2.26016E-03 2.05803E-03 1.87390E-03 1.72155E-03 1.48443E-03 1.33432E-03 1.23763E-03 1.17099E-03 1.16041E-03 1.01521E-03 8.07560E-04 6.12983E-04 4.52934E-04 3.31044E-04 2.40228E-04 1.73727E-04 1.25918E-04 9.13566E-05 6.63456E-05 4.82327E-05 3.49651E-05 2.51123E-05 1.75410E-05 1.14054E-05 6.02799E-063 7.93178E-03 7.91704E-03 7.99738E-03 7.92865E-03 7.95990E-03 8.07732E-03 7.65892E-03 7.51557E-03 7.63471E-03 7.19335E-03 6.99936E-03 7.05654E-03 6.63913E-03 6.29570E-03 6.01816E-03 5.57326E-03 5.10704E-03 4.43547E-03 3.87940E-03 3.64344E-03 3.36258E-03 3.25693E-03 3.33738E-03 2.72623E-03 2.51657E-03 2.65222E-03 2.16556E-03 1.97833E-03 2.06736E-03 1.71117E-03 1.49661E-03 1.37308E-03 1.20599E-03 1.16258E-03 1.16355E-03 1.01227E-03 8.05275E-04 6.11142E-04 4.52338E-04 3.30021E-04 2.39470E-04 1.73457E-04 1.25598E-04 9.11697E-05 6.62284E-05 4.80912E-05 3.48761E-05 2.50346E-05 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4.91956E-06 4.18009E-06 3.47210E-06 2.72616E-06 1.94203E-06 1.10706E-0648 2.51392E-05 2.51123E-05 2.50346E-05 2.49097E-05 2.47925E-05 2.46543E-05 2.44565E-05 2.42397E-05 2.40082E-05 2.37106E-05 2.33837E-05 2.30508E-05 2.26512E-05 2.22136E-05 2.17814E-05 2.12965E-05 2.07683E-05 2.02275E-05 1.96400E-05 1.90110E-05 1.83632E-05 1.77210E-05 1.71036E-05 1.64779E-05 1.58444E-05 1.52487E-05 1.46407E-05 1.40233E-05 1.34477E-05 1.28575E-05 1.22518E-05 1.16812E-05 1.11087E-05 1.05170E-05 9.97944E-06 9.42089E-06 8.84144E-06 8.29604E-06 7.73842E-06 7.19947E-06 6.65886E-06 6.10840E-06 5.59617E-06 5.06492E-06 4.51435E-06 4.00856E-06 3.47208E-06 2.89903E-06 2.31840E-06 1.67353E-06 9.50811E-0749 1.75606E-05 1.75410E-05 1.74767E-05 1.74116E-05 1.73197E-05 1.71968E-05 1.70864E-05 1.69341E-05 1.67387E-05 1.65573E-05 1.63310E-05 1.60608E-05 1.58035E-05 1.55100E-05 1.51775E-05 1.48442E-05 1.44765E-05 1.40795E-05 1.36761E-05 1.32486E-05 1.28177E-05 1.23926E-05 1.19718E-05 1.15692E-05 1.11624E-05 1.07480E-05 1.03636E-05 9.97330E-06 9.55831E-06 9.19445E-06 8.80647E-06 8.39074E-06 8.02751E-06 7.63871E-06 7.23475E-06 6.87733E-06 6.49869E-06 6.10470E-06 5.72692E-06 5.34468E-06 4.97779E-06 4.60919E-06 4.22417E-06 3.87068E-06 3.49341E-06 3.09994E-06 2.72615E-06 2.31839E-06 1.86508E-06 1.36783E-06 7.85496E-0750 1.14371E-05 1.14054E-05 1.13856E-05 1.13402E-05 1.12689E-05 1.11996E-05 1.11110E-05 1.10108E-05 1.08988E-05 1.07600E-05 1.06145E-05 1.04502E-05 1.02654E-05 1.00812E-05 9.86964E-06 9.63451E-06 9.39953E-06 9.14204E-06 8.86966E-06 8.61233E-06 8.35230E-06 8.08306E-06 7.82796E-06 7.57061E-06 7.32826E-06 7.08689E-06 6.83019E-06 6.60492E-06 6.35702E-06 6.09534E-06 5.87463E-06 5.62723E-06 5.36429E-06 5.14009E-06 4.89501E-06 4.63758E-06 4.41196E-06 4.17076E-06 3.91370E-06 3.67373E-06 3.43149E-06 3.19542E-06 2.94973E-06 2.70284E-06 2.46504E-06 2.20966E-06 1.94203E-06 1.67352E-06 1.36783E-06 1.01342E-06 5.91345E-0751 6.03226E-06 6.02798E-06 6.00938E-06 5.98265E-06 5.95366E-06 5.91179E-06 5.85976E-06 5.80753E-06 5.75003E-06 5.67555E-06 5.59290E-06 5.51301E-06 5.41866E-06 5.30979E-06 5.20770E-06 5.09315E-06 4.95238E-06 4.83384E-06 4.70222E-06 4.55661E-06 4.44133E-06 4.30854E-06 4.17155E-06 4.04783E-06 3.91837E-06 3.79536E-06 3.67205E-06 3.53917E-06 3.42721E-06 3.30334E-06 3.16379E-06 3.05624E-06 2.93055E-06 2.78733E-06 2.67659E-06 2.54679E-06 2.41102E-06 2.29639E-06 2.16769E-06 2.03342E-06 1.90397E-06 1.77582E-06 1.64964E-06 1.51562E-06 1.38188E-06 1.25161E-06 1.10705E-06 9.50812E-07 7.85491E-07 5.91344E-07 3.58697E-07P I N C E L L G R O U P 61 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 511 8.87543E-03 8.85435E-03 8.87575E-03 8.91347E-03 8.84940E-03 8.79705E-03 8.77547E-03 8.61844E-03 8.38807E-03 8.23346E-03 8.01915E-03 7.67516E-03 7.34710E-03 7.00129E-03 6.49934E-03 5.86509E-03 4.95507E-03 3.53109E-03 2.74553E-03 2.37558E-03 2.18502E-03 2.02697E-03 1.90060E-03 1.81323E-03 1.68964E-03 1.53964E-03 1.43619E-03 1.32635E-03 1.18658E-03 1.07507E-03 9.86363E-04 9.19101E-04 9.82941E-04 1.38164E-03 2.49074E-03 3.09098E-03 3.03087E-03 2.66006E-03 2.19164E-03 1.73492E-03 1.33765E-03 1.01304E-03 7.57631E-04 5.61638E-04 4.13543E-04 3.02426E-04 2.18969E-04 1.55528E-04 1.05898E-04 6.49493E-05 2.87166E-052 8.85435E-03 8.94504E-03 8.92261E-03 8.94365E-03 9.15276E-03 9.11049E-03 8.95802E-03 8.79009E-03 8.58264E-03 8.40952E-03 8.17834E-03 7.94044E-03 7.60537E-03 7.02508E-03 6.53699E-03 5.93754E-03 4.94778E-03 3.48884E-03 2.54951E-03 2.15829E-03 1.97876E-03 1.98424E-03 1.90180E-03 1.75021E-03 1.60301E-03 1.49637E-03 1.38506E-03 1.26116E-03 1.17559E-03 1.06245E-03 8.91262E-04 8.34656E-04 9.14383E-04 1.36772E-03 2.48765E-03 3.08847E-03 3.02732E-03 2.65702E-03 2.18863E-03 1.73288E-03 1.33613E-03 1.01170E-03 7.56745E-04 5.61048E-04 4.13070E-04 3.02049E-04 2.18677E-04 1.55329E-04 1.05759E-04 6.48526E-05 2.86797E-053 8.87574E-03 8.92261E-03 9.17929E-03 9.23321E-03 9.43028E-03 9.96021E-03 8.97690E-03 8.80106E-03 9.37246E-03 8.42031E-03 8.19597E-03 8.68377E-03 7.83092E-03 7.25788E-03 6.74358E-03 5.92749E-03 4.95606E-03 3.46232E-03 2.46570E-03 2.21086E-03 2.06902E-03 2.06735E-03 2.52476E-03 1.65317E-03 1.50833E-03 1.97456E-03 1.30809E-03 1.18714E-03 1.55877E-03 1.09095E-03 9.29781E-04 8.65938E-04 8.82891E-04 1.35218E-03 2.48477E-03 3.08078E-03 3.01978E-03 2.65038E-03 2.18362E-03 1.72855E-03 1.33277E-03 1.00937E-03 7.54958E-04 5.59750E-04 4.12116E-04 3.01300E-04 2.18124E-04 1.54919E-04 1.05470E-04 6.46870E-05 2.86031E-054 8.91347E-03 8.94365E-03 9.23321E-03 1.01956E-02 9.55264E-03 9.14648E-03 9.07587E-03 8.89688E-03 8.61363E-03 8.50705E-03 8.29252E-03 7.97591E-03 7.93204E-03 8.03303E-03 6.79074E-03 5.94894E-03 4.98363E-03 3.46807E-03 2.45646E-03 2.22732E-03 2.92295E-03 2.06427E-03 1.66943E-03 1.55075E-03 1.42439E-03 1.30617E-03 1.22643E-03 1.12144E-03 1.03162E-03 1.07971E-03 1.31631E-03 8.72366E-04 8.79084E-04 1.35597E-03 2.47052E-03 3.06907E-03 3.00915E-03 2.64073E-03 2.17567E-03 1.72228E-03 1.32790E-03 1.00580E-03 7.52352E-04 5.57724E-04 4.10610E-04 3.00214E-04 2.17297E-04 1.54305E-04 1.05061E-04 6.44342E-05 2.84892E-055 8.84940E-03 9.15276E-03 9.43029E-03 9.55264E-03 9.46502E-03 9.10797E-03 9.02033E-03 8.84510E-03 8.56187E-03 8.45984E-03 8.24357E-03 7.94531E-03 7.86612E-03 7.52199E-03 6.94696E-03 6.11113E-03 4.94667E-03 3.43916E-03 2.60791E-03 2.36903E-03 2.19881E-03 1.90351E-03 1.62258E-03 1.49997E-03 1.37709E-03 1.26541E-03 1.18726E-03 1.08421E-03 1.00223E-03 9.99190E-04 9.77175E-04 9.23526E-04 9.39357E-04 1.34671E-03 2.45704E-03 3.05501E-03 2.99496E-03 2.62829E-03 2.16486E-03 1.71404E-03 1.32175E-03 1.00099E-03 7.48739E-04 5.55041E-04 4.08583E-04 2.98716E-04 2.16202E-04 1.53530E-04 1.04522E-04 6.40938E-05 2.83420E-056 8.79705E-03 9.11049E-03 9.96021E-03 9.14648E-03 9.10797E-03 9.82176E-03 8.83060E-03 8.65302E-03 9.24143E-03 8.28187E-03 8.06978E-03 8.57639E-03 7.57872E-03 7.19989E-03 7.35675E-03 6.09313E-03 4.92303E-03 3.42371E-03 2.62715E-03 3.07059E-03 1.89934E-03 1.71104E-03 2.33099E-03 1.46841E-03 1.33610E-03 1.83156E-03 1.16116E-03 1.05342E-03 1.44351E-03 9.13955E-04 8.33570E-04 1.18120E-03 9.49630E-04 1.33811E-03 2.44894E-03 3.03731E-03 2.97726E-03 2.61265E-03 2.15224E-03 1.70384E-03 1.31392E-03 9.95056E-04 7.44123E-04 5.51631E-04 4.06061E-04 2.96806E-04 2.14854E-04 1.52576E-04 1.03853E-04 6.36844E-05 2.81574E-057 8.77547E-03 8.95802E-03 8.97690E-03 9.07587E-03 9.02034E-03 8.83060E-03 8.80338E-03 8.63352E-03 8.35987E-03 8.26200E-03 8.05395E-03 7.71837E-03 7.51364E-03 7.15855E-03 6.61614E-03 5.99783E-03 4.93850E-03 3.43309E-03 2.56283E-03 2.13857E-03 1.86449E-03 1.67700E-03 1.54714E-03 1.46338E-03 1.34197E-03 1.23331E-03 1.15845E-03 1.05874E-03 9.62844E-04 8.94591E-04 8.25287E-04 8.20814E-04 9.26094E-04 1.34843E-03 2.43090E-03 3.01656E-03 2.95690E-03 2.59443E-03 2.13729E-03 1.69195E-03 1.30440E-03 9.87767E-04 7.38693E-04 5.47461E-04 4.02960E-04 2.94595E-04 2.13222E-04 1.51413E-04 1.03075E-04 6.31956E-05 2.79359E-058 8.61844E-03 8.79009E-03 8.80106E-03 8.89688E-03 8.84510E-03 8.65302E-03 8.63352E-03 8.48642E-03 8.21622E-03 8.12381E-03 7.90659E-03 7.57296E-03 7.37825E-03 7.02957E-03 6.49915E-03 5.89546E-03 4.85717E-03 3.38495E-03 2.51577E-03 2.09501E-03 1.82837E-03 1.64608E-03 1.51320E-03 1.43389E-03 1.32508E-03 1.21693E-03 1.14393E-03 1.04251E-03 9.46080E-04 8.80659E-04 8.12590E-04 8.06952E-04 9.10562E-04 1.33419E-03 2.41309E-03 2.99370E-03 2.93325E-03 2.57374E-03 2.11989E-03 1.67794E-03 1.29342E-03 9.79221E-04 7.32222E-04 5.42622E-04 3.99380E-04 2.91980E-04 2.11331E-04 1.50063E-04 1.02152E-04 6.26268E-05 2.76838E-059 8.38807E-03 8.58265E-03 9.37246E-03 8.61363E-03 8.56187E-03 9.24143E-03 8.35987E-03 8.21622E-03 8.78738E-03 7.87305E-03 7.65922E-03 8.10091E-03 7.15670E-03 6.81513E-03 6.96040E-03 5.76835E-03 4.72856E-03 3.30094E-03 2.48445E-03 2.88422E-03 1.78282E-03 1.59947E-03 2.19341E-03 1.40188E-03 1.28724E-03 1.77050E-03 1.12150E-03 1.01357E-03 1.37561E-03 8.64956E-04 7.89132E-04 1.11607E-03 9.03533E-04 1.30440E-03 2.39658E-03 2.96650E-03 2.90600E-03 2.54986E-03 2.10006E-03 1.66180E-03 1.28083E-03 9.69524E-04 7.24723E-04 5.37125E-04 3.95338E-04 2.88958E-04 2.09169E-04 1.48527E-04 1.01081E-04 6.19744E-05 2.73964E-0510 8.23346E-03 8.40952E-03 8.42031E-03 8.50705E-03 8.45984E-03 8.28187E-03 8.26200E-03 8.12382E-03 7.87305E-03 7.78508E-03 7.58045E-03 7.26896E-03 7.08474E-03 6.75415E-03 6.25377E-03 5.67806E-03 4.67603E-03 3.26210E-03 2.43506E-03 2.03290E-03 1.77457E-03 1.59858E-03 1.47401E-03 1.39698E-03 1.29107E-03 1.18907E-03 1.11790E-03 1.01859E-03 9.26469E-04 8.62403E-04 7.95408E-04 7.91312E-04 8.92937E-04 1.30668E-03 2.36467E-03 2.93454E-03 2.87525E-03 2.52260E-03 2.07738E-03 1.64377E-03 1.26655E-03 9.58488E-04 7.16511E-04 5.30905E-04 3.90732E-04 2.85629E-04 2.06707E-04 1.46767E-04 9.98925E-05 6.12302E-05 2.70641E-0511 8.01915E-03 8.17834E-03 8.19597E-03 8.29252E-03 8.24357E-03 8.06978E-03 8.05395E-03 7.90659E-03 7.65922E-03 7.58045E-03 7.39809E-03 7.09555E-03 6.92073E-03 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5.36283E-05 5.22032E-05 5.07057E-05 4.91662E-05 4.75853E-05 4.59716E-05 4.43465E-05 4.27141E-05 4.10862E-05 3.94562E-05 3.78243E-05 3.62134E-05 3.45978E-05 3.29869E-05 3.14083E-05 2.98286E-05 2.82566E-05 2.67217E-05 2.51949E-05 2.36827E-05 2.22074E-05 2.07425E-05 1.92908E-05 1.78734E-05 1.64835E-05 1.51333E-05 1.38103E-05 1.24971E-05 1.12308E-05 9.93910E-06 8.58599E-06 7.24687E-06 5.76177E-06 4.05859E-06 2.04004E-0651 2.87166E-05 2.86797E-05 2.86031E-05 2.84892E-05 2.83420E-05 2.81574E-05 2.79359E-05 2.76837E-05 2.73964E-05 2.70641E-05 2.66939E-05 2.62925E-05 2.58485E-05 2.53642E-05 2.48491E-05 2.42903E-05 2.36888E-05 2.30664E-05 2.24114E-05 2.17337E-05 2.10545E-05 2.03560E-05 1.96495E-05 1.89466E-05 1.82420E-05 1.75415E-05 1.68402E-05 1.61390E-05 1.54511E-05 1.47594E-05 1.40658E-05 1.33958E-05 1.27209E-05 1.20407E-05 1.13964E-05 1.07433E-05 1.00872E-05 9.47410E-06 8.85216E-06 8.22623E-06 7.63803E-06 7.04375E-06 6.48524E-06 5.90434E-06 5.31636E-06 4.75681E-06 4.15226E-06 3.51899E-06 2.84201E-06 2.04004E-06 1.06116E-06P I N C E L L G R O U P 71 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 511 1.02274E-02 1.02451E-02 1.03070E-02 1.04244E-02 1.04620E-02 1.04298E-02 1.04130E-02 1.02297E-02 9.94491E-03 9.77443E-03 9.51109E-03 9.09207E-03 8.67476E-03 8.15501E-03 7.46859E-03 6.62618E-03 5.43038E-03 3.77575E-03 2.77764E-03 2.30006E-03 2.08110E-03 1.94246E-03 1.82508E-03 1.73545E-03 1.61451E-03 1.47496E-03 1.37555E-03 1.26765E-03 1.13961E-03 1.03613E-03 9.54579E-04 9.51730E-04 1.24653E-03 2.45386E-03 6.50000E-03 9.15394E-03 9.41794E-03 8.49245E-03 7.11905E-03 5.70241E-03 4.43257E-03 3.37571E-03 2.53437E-03 1.88346E-03 1.38876E-03 1.01614E-03 7.35524E-04 5.21769E-04 3.54156E-04 2.15169E-04 8.81272E-052 1.02451E-02 1.03786E-02 1.04930E-02 1.06620E-02 1.12307E-02 1.15090E-02 1.10262E-02 1.08010E-02 1.08264E-02 1.03370E-02 1.00550E-02 1.00226E-02 9.32474E-03 8.34705E-03 7.61557E-03 6.72953E-03 5.43820E-03 3.70468E-03 2.44147E-03 1.96376E-03 1.78852E-03 1.83310E-03 1.85515E-03 1.61378E-03 1.47347E-03 1.45497E-03 1.27332E-03 1.16067E-03 1.14762E-03 9.86331E-04 8.20475E-04 8.11389E-04 1.10134E-03 2.42261E-03 6.49021E-03 9.14421E-03 9.40689E-03 8.48234E-03 7.11008E-03 5.69550E-03 4.42730E-03 3.37153E-03 2.53138E-03 1.88134E-03 1.38715E-03 1.01489E-03 7.34581E-04 5.21095E-04 3.53690E-04 2.14873E-04 8.80096E-053 1.03070E-02 1.04930E-02 1.11688E-02 1.17642E-02 1.23341E-02 1.51469E-02 1.14960E-02 1.12372E-02 1.41485E-02 1.07632E-02 1.04740E-02 1.31879E-02 1.02323E-02 9.21990E-03 8.14527E-03 6.81887E-03 5.46202E-03 3.66802E-03 2.34121E-03 2.01668E-03 2.01009E-03 2.03027E-03 2.87293E-03 1.58503E-03 1.42481E-03 2.21017E-03 1.24615E-03 1.12464E-03 1.76820E-03 1.08196E-03 9.17409E-04 8.38830E-04 1.05911E-03 2.39702E-03 6.47399E-03 9.12185E-03 9.38389E-03 8.46163E-03 7.09312E-03 5.68159E-03 4.41646E-03 3.36354E-03 2.52542E-03 1.87694E-03 1.38388E-03 1.01241E-03 7.32730E-04 5.19741E-04 3.52753E-04 2.14312E-04 8.77781E-054 1.04244E-02 1.06620E-02 1.17643E-02 1.56315E-02 1.26427E-02 1.18614E-02 1.13759E-02 1.11187E-02 1.10530E-02 1.06384E-02 1.03763E-02 1.03264E-02 1.04698E-02 1.22708E-02 8.60567E-03 6.94675E-03 5.53490E-03 3.68430E-03 2.35344E-03 2.18309E-03 3.37530E-03 2.02120E-03 1.56210E-03 1.32367E-03 1.20353E-03 1.18439E-03 1.03963E-03 9.50650E-04 9.58884E-04 1.04996E-03 1.53373E-03 9.10551E-04 1.06188E-03 2.39368E-03 6.44379E-03 9.08723E-03 9.35027E-03 8.43108E-03 7.06743E-03 5.66103E-03 4.40050E-03 3.35158E-03 2.51651E-03 1.87020E-03 1.37885E-03 1.00871E-03 7.29972E-04 5.17732E-04 3.51385E-04 2.13476E-04 8.74330E-055 1.04620E-02 1.12307E-02 1.23341E-02 1.26427E-02 1.22533E-02 1.18243E-02 1.13243E-02 1.10707E-02 1.10035E-02 1.05943E-02 1.03326E-02 1.02980E-02 1.01571E-02 9.90487E-03 9.02346E-03 7.36576E-03 5.56478E-03 3.69148E-03 2.55116E-03 2.37139E-03 2.15844E-03 1.70667E-03 1.47949E-03 1.25292E-03 1.13922E-03 1.12670E-03 9.85182E-04 8.99716E-04 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3.26324E-03 2.44934E-03 1.81971E-03 1.34128E-03 9.81084E-04 7.09926E-04 5.03471E-04 3.41648E-04 2.07510E-04 8.49735E-059 9.94491E-03 1.08264E-02 1.41485E-02 1.10530E-02 1.10035E-02 1.40216E-02 1.07619E-02 1.05655E-02 1.33302E-02 1.01359E-02 9.84243E-03 1.22785E-02 9.19154E-03 8.68651E-03 1.03963E-02 7.15089E-03 5.32868E-03 3.55294E-03 2.54794E-03 3.29972E-03 1.64215E-03 1.42289E-03 2.35325E-03 1.25023E-03 1.13552E-03 1.89449E-03 9.99925E-04 8.93610E-04 1.47492E-03 7.78304E-04 7.26254E-04 1.33130E-03 1.14018E-03 2.32100E-03 6.24130E-03 8.78336E-03 9.03068E-03 8.14056E-03 6.82180E-03 5.46236E-03 4.24438E-03 3.23094E-03 2.42462E-03 1.80127E-03 1.32764E-03 9.71013E-04 7.02637E-04 4.98288E-04 3.38093E-04 2.05345E-04 8.40871E-0510 9.77442E-03 1.03370E-02 1.07632E-02 1.06384E-02 1.05943E-02 1.06642E-02 1.03568E-02 1.01742E-02 1.01359E-02 9.75604E-03 9.49000E-03 9.35036E-03 8.85869E-03 8.39233E-03 7.91497E-03 6.84369E-03 5.27754E-03 3.50665E-03 2.38086E-03 1.97717E-03 1.52104E-03 1.32756E-03 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6.32226E-04 4.82404E-04 3.65744E-04 2.74255E-04 2.01166E-04 1.40678E-04 8.75542E-05 3.64329E-0535 6.50000E-03 6.49021E-03 6.47399E-03 6.44379E-03 6.41204E-03 6.38383E-03 6.34147E-03 6.29367E-03 6.24130E-03 6.16825E-03 6.09263E-03 6.01378E-03 5.92540E-03 5.85182E-03 5.80395E-03 5.80274E-03 5.89830E-03 6.03737E-03 6.11594E-03 6.09375E-03 5.98582E-03 5.82369E-03 5.62993E-03 5.40176E-03 5.14978E-03 4.87858E-03 4.58383E-03 4.28040E-03 3.96736E-03 3.64551E-03 3.33874E-03 3.06604E-03 2.87189E-03 2.84490E-03 2.97285E-03 2.95969E-03 2.69581E-03 2.31966E-03 1.92184E-03 1.55141E-03 1.23018E-03 9.63751E-04 7.48696E-04 5.78037E-04 4.43880E-04 3.38556E-04 2.55266E-04 1.88138E-04 1.32066E-04 8.24424E-05 3.43839E-0536 9.15394E-03 9.14420E-03 9.12185E-03 9.08723E-03 9.04465E-03 8.99371E-03 8.93295E-03 8.86388E-03 8.78337E-03 8.68851E-03 8.58303E-03 8.47160E-03 8.35523E-03 8.24127E-03 8.14181E-03 8.06666E-03 8.01098E-03 7.95565E-03 7.87576E-03 7.74824E-03 7.56464E-03 7.33537E-03 7.07014E-03 6.77450E-03 6.45351E-03 6.10984E-03 5.74498E-03 5.36329E-03 4.96975E-03 4.56906E-03 4.17277E-03 3.79957E-03 3.47139E-03 3.19981E-03 2.95969E-03 2.69958E-03 2.38694E-03 2.03711E-03 1.68882E-03 1.36999E-03 1.09375E-03 8.63246E-04 6.75808E-04 5.25715E-04 4.06536E-04 3.12080E-04 2.36682E-04 1.75345E-04 1.23614E-04 7.73991E-05 3.23467E-0537 9.41793E-03 9.40689E-03 9.38389E-03 9.35027E-03 9.30626E-03 9.25196E-03 9.18852E-03 9.11518E-03 9.03068E-03 8.93473E-03 8.82802E-03 8.71269E-03 8.59141E-03 8.46672E-03 8.34344E-03 8.22343E-03 8.10192E-03 7.97162E-03 7.82280E-03 7.64576E-03 7.43630E-03 7.19463E-03 6.92403E-03 6.62859E-03 6.31105E-03 5.97308E-03 5.61647E-03 5.24386E-03 4.85910E-03 4.46726E-03 4.07625E-03 3.69755E-03 3.34118E-03 3.00960E-03 2.69581E-03 2.38694E-03 2.07498E-03 1.76394E-03 1.46691E-03 1.19758E-03 9.63903E-04 7.67428E-04 6.05950E-04 4.75319E-04 3.70450E-04 2.86378E-04 2.18550E-04 1.62791E-04 1.15293E-04 7.24458E-05 3.03368E-0538 8.49245E-03 8.48234E-03 8.46163E-03 8.43108E-03 8.39114E-03 8.34175E-03 8.28377E-03 8.21711E-03 8.14056E-03 8.05362E-03 7.95683E-03 7.85164E-03 7.73922E-03 7.62054E-03 7.49737E-03 7.36953E-03 7.23439E-03 7.08882E-03 6.92839E-03 6.74848E-03 6.54708E-03 6.32378E-03 6.07921E-03 5.81570E-03 5.53492E-03 5.23736E-03 4.92424E-03 4.59774E-03 4.26118E-03 3.91909E-03 3.57710E-03 3.24231E-03 2.92049E-03 2.61334E-03 2.31966E-03 2.03711E-03 1.76394E-03 1.50209E-03 1.25709E-03 1.03529E-03 8.41289E-04 6.76531E-04 5.39434E-04 4.27008E-04 3.35650E-04 2.61496E-04 2.00912E-04 1.50524E-04 1.07107E-04 6.75579E-05 2.83782E-0539 7.11905E-03 7.11007E-03 7.09312E-03 7.06743E-03 7.03328E-03 6.99198E-03 6.94319E-03 6.88658E-03 6.82180E-03 6.74829E-03 6.66632E-03 6.57630E-03 6.47916E-03 6.37613E-03 6.26655E-03 6.14987E-03 6.02574E-03 5.89151E-03 5.74504E-03 5.58525E-03 5.41006E-03 5.21898E-03 5.01318E-03 4.79323E-03 4.55981E-03 4.31382E-03 4.05598E-03 3.78794E-03 3.51253E-03 3.23371E-03 2.95616E-03 2.68365E-03 2.41936E-03 2.16537E-03 1.92184E-03 1.68882E-03 1.46691E-03 1.25709E-03 1.06174E-03 8.84096E-04 7.26769E-04 5.91013E-04 4.76405E-04 3.80984E-04 3.02235E-04 2.37448E-04 1.83795E-04 1.38556E-04 9.90895E-05 6.27400E-05 2.64293E-0540 5.70241E-03 5.69550E-03 5.68159E-03 5.66103E-03 5.63397E-03 5.60064E-03 5.56122E-03 5.51518E-03 5.46236E-03 5.40287E-03 5.33632E-03 5.26289E-03 5.18351E-03 5.09834E-03 5.00716E-03 4.90948E-03 4.80439E-03 4.69113E-03 4.56858E-03 4.43572E-03 4.29214E-03 4.13746E-03 3.97184E-03 3.79581E-03 3.60975E-03 3.41441E-03 3.21091E-03 3.00053E-03 2.78557E-03 2.56921E-03 2.35451E-03 2.14390E-03 1.93899E-03 1.74116E-03 1.55141E-03 1.36999E-03 1.19758E-03 1.03529E-03 8.84096E-04 7.45433E-04 6.20889E-04 5.11410E-04 4.17142E-04 3.37322E-04 2.70334E-04 2.14294E-04 1.67204E-04 1.26908E-04 9.12540E-05 5.80235E-05 2.45095E-0541 4.43257E-03 4.42730E-03 4.41646E-03 4.40050E-03 4.37974E-03 4.35374E-03 4.32246E-03 4.28606E-03 4.24438E-03 4.19727E-03 4.14483E-03 4.08729E-03 4.02455E-03 3.95667E-03 3.88385E-03 3.80561E-03 3.72114E-03 3.63019E-03 3.53230E-03 3.42670E-03 3.31337E-03 3.19238E-03 3.06336E-03 2.92654E-03 2.78262E-03 2.63220E-03 2.47634E-03 2.31660E-03 2.15473E-03 1.99257E-03 1.83195E-03 1.67444E-03 1.52120E-03 1.37288E-03 1.23018E-03 1.09375E-03 9.63903E-04 8.41289E-04 7.26769E-04 6.20889E-04 5.24378E-04 4.37970E-04 3.61957E-04 2.96185E-04 2.39979E-04 1.92117E-04 1.51170E-04 1.15581E-04 8.36134E-05 5.34133E-05 2.26466E-0542 3.37571E-03 3.37153E-03 3.36354E-03 3.35158E-03 3.33561E-03 3.31567E-03 3.29152E-03 3.26324E-03 3.23094E-03 3.19449E-03 3.15416E-03 3.10991E-03 3.06151E-03 3.00904E-03 2.95233E-03 2.89122E-03 2.82559E-03 2.75486E-03 2.67877E-03 2.59738E-03 2.51036E-03 2.41763E-03 2.31938E-03 2.21558E-03 2.10670E-03 1.99361E-03 1.87729E-03 1.75903E-03 1.64012E-03 1.52152E-03 1.40420E-03 1.28911E-03 1.17702E-03 1.06848E-03 9.63751E-04 8.63246E-04 7.67427E-04 6.76531E-04 5.91013E-04 5.11410E-04 4.37969E-04 3.71032E-04 3.10940E-04 2.57750E-04 2.11257E-04 1.70915E-04 1.35745E-04 1.04587E-04 7.61542E-05 4.89138E-05 2.08180E-0543 2.53437E-03 2.53138E-03 2.52542E-03 2.51651E-03 2.50443E-03 2.48917E-03 2.47088E-03 2.44934E-03 2.42462E-03 2.39705E-03 2.36646E-03 2.33280E-03 2.29616E-03 2.25627E-03 2.21298E-03 2.16632E-03 2.11615E-03 2.06230E-03 2.00457E-03 1.94289E-03 1.87726E-03 1.80751E-03 1.73379E-03 1.65643E-03 1.57573E-03 1.49238E-03 1.40741E-03 1.32158E-03 1.23566E-03 1.15034E-03 1.06609E-03 9.83379E-04 9.02676E-04 8.24360E-04 7.48696E-04 6.75808E-04 6.05950E-04 5.39434E-04 4.76405E-04 4.17142E-04 3.61957E-04 3.10940E-04 2.64245E-04 2.22034E-04 1.84270E-04 1.50720E-04 1.20890E-04 9.39408E-05 6.88746E-05 4.45080E-05 1.90424E-0544 1.88346E-03 1.88134E-03 1.87694E-03 1.87020E-03 1.86116E-03 1.84972E-03 1.83588E-03 1.81971E-03 1.80127E-03 1.78053E-03 1.75756E-03 1.73236E-03 1.70479E-03 1.67481E-03 1.64233E-03 1.60721E-03 1.56941E-03 1.52897E-03 1.48582E-03 1.43977E-03 1.39082E-03 1.33908E-03 1.28461E-03 1.22771E-03 1.16891E-03 1.10866E-03 1.04754E-03 9.86155E-04 9.24900E-04 8.64175E-04 8.04342E-04 7.45593E-04 6.88142E-04 6.32226E-04 5.78037E-04 5.25715E-04 4.75319E-04 4.27008E-04 3.80984E-04 3.37322E-04 2.96185E-04 2.57750E-04 2.22034E-04 1.89095E-04 1.58988E-04 1.31585E-04 1.06608E-04 8.35947E-05 6.17798E-05 4.01754E-05 1.72682E-0545 1.38876E-03 1.38715E-03 1.38388E-03 1.37885E-03 1.37208E-03 1.36357E-03 1.35327E-03 1.34128E-03 1.32764E-03 1.31224E-03 1.29516E-03 1.27640E-03 1.25585E-03 1.23352E-03 1.20936E-03 1.18324E-03 1.15517E-03 1.12514E-03 1.09314E-03 1.05913E-03 1.02307E-03 9.85073E-04 9.45368E-04 9.04176E-04 8.61905E-04 8.18980E-04 7.75639E-04 7.32189E-04 6.88963E-04 6.46153E-04 6.03957E-04 5.62552E-04 5.22003E-04 4.82404E-04 4.43880E-04 4.06536E-04 3.70450E-04 3.35650E-04 3.02235E-04 2.70334E-04 2.39979E-04 2.11257E-04 1.84270E-04 1.58988E-04 1.35380E-04 1.13416E-04 9.29023E-05 7.35281E-05 5.48119E-05 3.59211E-05 1.55268E-0546 1.01614E-03 1.01489E-03 1.01241E-03 1.00871E-03 1.00369E-03 9.97378E-04 9.89871E-04 9.81083E-04 9.71013E-04 9.59740E-04 9.47156E-04 9.33251E-04 9.18104E-04 9.01617E-04 8.83758E-04 8.64554E-04 8.43938E-04 8.21866E-04 7.98353E-04 7.73439E-04 7.47184E-04 7.19657E-04 6.91066E-04 6.61713E-04 6.31785E-04 6.01511E-04 5.71122E-04 5.40724E-04 5.10470E-04 4.80542E-04 4.51021E-04 4.22002E-04 3.93573E-04 3.65744E-04 3.38556E-04 3.12080E-04 2.86378E-04 2.61496E-04 2.37448E-04 2.14294E-04 1.92117E-04 1.70915E-04 1.50720E-04 1.31585E-04 1.13416E-04 9.61346E-05 7.96527E-05 6.37110E-05 4.79173E-05 3.16498E-05 1.38260E-0547 7.35524E-04 7.34581E-04 7.32730E-04 7.29972E-04 7.26311E-04 7.21757E-04 7.16292E-04 7.09926E-04 7.02638E-04 6.94401E-04 6.85237E-04 6.75115E-04 6.64021E-04 6.51980E-04 6.38973E-04 6.24987E-04 6.10009E-04 5.93995E-04 5.76952E-04 5.58944E-04 5.40067E-04 5.20459E-04 5.00260E-04 4.79641E-04 4.58772E-04 4.37735E-04 4.16648E-04 3.95635E-04 3.74728E-04 3.54002E-04 3.33554E-04 3.13418E-04 2.93636E-04 2.74255E-04 2.55266E-04 2.36682E-04 2.18550E-04 2.00912E-04 1.83795E-04 1.67204E-04 1.51170E-04 1.35745E-04 1.20890E-04 1.06608E-04 9.29023E-05 7.96527E-05 6.67407E-05 5.39920E-05 4.10247E-05 2.73165E-05 1.20106E-0548 5.21769E-04 5.21095E-04 5.19741E-04 5.17732E-04 5.15121E-04 5.11891E-04 5.08002E-04 5.03471E-04 4.98288E-04 4.92407E-04 4.85850E-04 4.78626E-04 4.70692E-04 4.62072E-04 4.52795E-04 4.42816E-04 4.32130E-04 4.20751E-04 4.08680E-04 3.95970E-04 3.82729E-04 3.69093E-04 3.55172E-04 3.41034E-04 3.26766E-04 3.12456E-04 2.98134E-04 2.83853E-04 2.69680E-04 2.55615E-04 2.41690E-04 2.27968E-04 2.14456E-04 2.01166E-04 1.88138E-04 1.75345E-04 1.62791E-04 1.50524E-04 1.38556E-04 1.26908E-04 1.15581E-04 1.04587E-04 9.39408E-05 8.35947E-05 7.35282E-05 6.37110E-05 5.39919E-05 4.41544E-05 3.39323E-05 2.28992E-05 1.02702E-0549 3.54156E-04 3.53690E-04 3.52753E-04 3.51385E-04 3.49589E-04 3.47369E-04 3.44736E-04 3.41648E-04 3.38093E-04 3.34094E-04 3.29614E-04 3.24655E-04 3.19249E-04 3.13371E-04 3.07018E-04 3.00208E-04 2.92923E-04 2.85177E-04 2.77011E-04 2.68466E-04 2.59623E-04 2.50571E-04 2.41380E-04 2.32105E-04 2.22771E-04 2.13419E-04 2.04092E-04 1.94792E-04 1.85537E-04 1.76376E-04 1.67286E-04 1.58285E-04 1.49422E-04 1.40678E-04 1.32066E-04 1.23614E-04 1.15293E-04 1.07107E-04 9.90895E-05 9.12540E-05 8.36134E-05 7.61542E-05 6.88746E-05 6.17798E-05 5.48119E-05 4.79173E-05 4.10247E-05 3.39323E-05 2.64176E-05 1.81407E-05 8.24370E-0650 2.15169E-04 2.14873E-04 2.14312E-04 2.13476E-04 2.12369E-04 2.11011E-04 2.09395E-04 2.07510E-04 2.05345E-04 2.02893E-04 2.00157E-04 1.97132E-04 1.93825E-04 1.90243E-04 1.86365E-04 1.82197E-04 1.77758E-04 1.73050E-04 1.68104E-04 1.62977E-04 1.57702E-04 1.52316E-04 1.46868E-04 1.41389E-04 1.35900E-04 1.30406E-04 1.24920E-04 1.19468E-04 1.14030E-04 1.08627E-04 1.03287E-04 9.79808E-05 9.27261E-05 8.75542E-05 8.24424E-05 7.73991E-05 7.24458E-05 6.75578E-05 6.27400E-05 5.80235E-05 5.34133E-05 4.89139E-05 4.45081E-05 4.01754E-05 3.59211E-05 3.16499E-05 2.73165E-05 2.28992E-05 1.81407E-05 1.27728E-05 5.88282E-0651 8.81272E-05 8.80096E-05 8.77781E-05 8.74329E-05 8.69796E-05 8.64184E-05 8.57479E-05 8.49735E-05 8.40871E-05 8.30759E-05 8.19484E-05 8.07105E-05 7.93516E-05 7.78758E-05 7.62882E-05 7.45767E-05 7.27489E-05 7.08276E-05 6.88123E-05 6.67282E-05 6.46036E-05 6.24325E-05 6.02368E-05 5.80364E-05 5.58337E-05 5.36344E-05 5.14365E-05 4.92477E-05 4.70769E-05 4.49100E-05 4.27583E-05 4.06384E-05 3.85256E-05 3.64329E-05 3.43839E-05 3.23467E-05 3.03368E-05 2.83782E-05 2.64293E-05 2.45096E-05 2.26466E-05 2.08180E-05 1.90424E-05 1.72682E-05 1.55269E-05 1.38260E-05 1.20106E-05 1.02702E-05 8.24371E-06 5.88282E-06 2.88103E-06NORMALIZED SCALAR FLUX SOLUTIONFLUXES PER MESH PER ENERGY GROUP:
M E S H G R O U P 11 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 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599 600 601 602 603 604 605 606 607 608 609 610 611 6121 5.77839E-02 6.08002E-02 6.37776E-02 6.58575E-02 6.97831E-02 7.37391E-02 7.36502E-02 6.93992E-02 6.51838E-02 6.29570E-02 5.96413E-02 5.60359E-02 5.59932E-02 5.96042E-02 6.30003E-02 6.52549E-02 6.93888E-02 7.35252E-02 7.35253E-02 6.93836E-02 6.52445E-02 6.29886E-02 5.95956E-02 5.59925E-02 5.60280E-02 5.96356E-02 6.29771E-02 6.52146E-02 6.94101E-02 7.36366E-02 7.37463E-02 6.98944E-02 6.60538E-02 6.39880E-02 6.09795E-02 5.78982E-02 5.79430E-02 6.10988E-02 6.41537E-02 6.62448E-02 7.01016E-02 7.38957E-02 7.36665E-02 6.93680E-02 6.51568E-02 6.29237E-02 5.95916E-02 5.60005E-02 5.59613E-02 5.95416E-02 6.29197E-02 6.51541E-02 6.91944E-02 7.31966E-02 7.31521E-02 6.90355E-02 6.49161E-02 6.26635E-02 5.92764E-02 5.56955E-02 5.57060E-02 5.92523E-02 6.25567E-02 6.47511E-02 6.87858E-02 7.27934E-02 7.28088E-02 6.89714E-02 6.51583E-02 6.30950E-02 6.00442E-02 5.68956E-02 5.69290E-02 6.00954E-02 6.31016E-02 6.51176E-02 6.88079E-02 7.23991E-02 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8.23071E-05 8.83769E-05 8.24025E-05 8.32667E-05 8.06080E-05 8.15087E-05 7.53827E-05 8.26815E-05 7.96923E-05 7.89230E-05 7.92580E-05 8.24105E-05 7.43279E-05 8.46978E-05 7.79814E-05 7.86424E-05 7.62961E-05 7.67319E-05 7.42842E-05 7.40117E-05 8.16595E-05 6.74941E-05 8.07823E-05 7.36341E-05 7.26187E-05 7.93034E-05 7.35105E-05 7.41431E-05 7.17397E-05 7.22561E-05 6.89199E-05 6.95209E-05 7.63194E-05 6.33464E-05 7.62624E-05 6.89723E-05 6.80584E-05 7.54219E-05 6.87808E-05 6.98033E-05 6.70235E-05 6.80566E-05 6.21530E-05 6.85525E-05 6.74219E-05 6.41468E-05 6.70053E-05 6.84790E-05 6.10815E-05 7.18532E-05 6.47134E-05 6.53431E-05 6.34938E-05 6.32830E-05 6.21141E-05 6.34793E-05 6.82322E-05 5.42293E-05 6.75965E-05 6.06295E-05 5.91420E-05 6.67806E-05 6.02923E-05 6.10944E-05 5.85465E-05 5.92506E-05 5.54972E-05 5.66186E-05 6.32414E-05 5.03635E-05 6.30357E-05 5.64376E-05 5.45298E-05 6.30906E-05 5.57891E-05 5.69664E-05 5.40787E-05 5.51992E-05 4.95699E-05 5.46975E-05 5.61460E-05 4.93631E-05 5.59046E-05 5.44728E-05 4.89402E-05 5.91661E-05 5.16888E-05 5.27000E-05 5.04452E-05 5.07757E-05 4.88591E-05 5.01853E-05 5.53934E-05 4.14417E-05 5.52298E-05 4.75793E-05 4.67804E-05 5.42225E-05 4.75901E-05 4.86477E-05 4.59958E-05 4.69334E-05 4.20763E-05 4.58266E-05 4.85549E-05 4.07067E-05 4.81353E-05 4.60711E-05 4.08826E-05 5.12975E-05 4.37500E-05 4.50871E-05 4.25494E-05 4.27113E-05 4.12860E-05 4.31759E-05 4.51215E-05 3.50015E-05 4.56465E-05 4.11772E-05 3.76036E-05 4.70062E-05 3.99270E-05 4.07374E-05 3.87255E-05 3.86494E-05 3.74396E-05 3.82546E-05 4.43845E-05 2.84046E-05 4.44170E-05 4.09663E-05 4.17840E-05 4.19220E-05 3.55741E-05 3.69294E-05 3.39866E-05 3.54640E-05 2.90071E-05 3.65140E-05 3.44744E-05 3.24075E-05 3.43126E-05 3.69751E-05 2.92966E-05 3.90528E-05 3.68051E-05 3.43336E-05 3.21159E-05 3.10204E-05 3.04835E-05 3.15543E-05 3.11431E-05 2.53974E-05 3.51655E-05 2.77723E-05 2.68452E-05 3.43207E-05 2.78366E-05 2.87847E-05 2.68658E-05 2.72983E-05 2.59253E-05 2.56698E-05 3.31879E-05 2.09867E-05 3.17032E-05 3.12709E-05 3.19287E-05 3.13972E-05 2.72257E-05 2.41494E-05 2.36036E-05 2.23692E-05 2.05460E-05 2.56403E-05 2.05353E-05 2.22931E-05 2.03736E-05 2.54624E-05 2.29089E-05 2.59249E-05 2.40118E-05 2.15289E-05 1.98279E-05 1.82693E-05 1.78278E-05 1.77205E-05 1.74393E-05 1.68446E-05 2.15927E-05 1.38763E-05 1.42939E-05 1.96515E-05 1.49988E-05 1.45563E-05 1.29895E-05 1.20928E-05 1.17134E-05 1.08628E-05 1.69036E-05 1.12271E-05 1.33006E-05 1.30251E-05 1.34580E-05 1.29682E-05 1.11301E-05 8.50538E-06 6.41281E-06 4.53357E-06 3.93752E-06 3.67937E-06 2.24939E-06 3.89997E-06OUTPUT PARAMETER - SOLUTION TO TRANSPORT EQUATIONK-EFF = 1.186195 TOTAL OUTER ITERATIONS = 320 TOTAL INNER ITERATIONS = 45 TOTAL EXECUTION TIME = 1:07:55.63 (H:M:S)
2.3. Slab¶
Setting up input file for the URRb-H2Oa-2-0-SL benchmark taken from [Sood, A., et al.,2003]., which is a slab geometry in two energy groups with isotropic scattering source.
{ "data": { "parameter": { "id": 100, "Total number of energy groups": 2, "Total number of materials": 2, "Total number of pin cells": 2, "Total number of assemblies": 1, "Total number of active pin cells": 1, "Core":[1], "Number of angular discretizations": 10, "The l-order Legendre polynomial": 0, "Maximum number of iterations": 200, "Criterion of Keff convergence": 1.0e-5 }, "Assemblies": [ { "id": 1, "name": "1", "assembly": [2,1,2] } ], "PinCells": [ { "id": 1, "name": "URRb", "width":[9.726784], "mat_fill": [1], "fine_mesh": [10] }, { "id": 2, "name": "H2O", "width":[5.630757], "mat_fill": [2], "fine_mesh": [10] } ], "materials": [ { "id": 1, "name": "URRb", "XSTotal": [0.88721, 2.9727], "XSNuFission": [0.00209, 0.07391], "XSScatter Matrix":[[[0.838920, 0.04635], [0.000767, 2.91830]]], "XSChi": [1.0, 0.0] }, { "id": 2, "name": "H2O", "XSTotal": [0.88798, 2.9865], "XSNuFission": [0, 0], "XSScatter Matrix":[[[0.83975, 0.04749], [0.000336, 2.96760]]], "XSChi": [0, 0] } ] } }
- Geometry in a one-dimensional slab
- Flux in a one-dimensional slab
2.4. Cylinder or Pin Cell¶
An example for cylindrical infinite cell equivalent to the TRIGA MARK-II research reactor pin cell is presented here by using 7 energy groups
{ "data": { "parameter": { "id": 100, "Total number of energy groups": 7, "Total number of materials": 5, "Total number of pin cells": 5, "Total number of assemblies": 1, "Core": [1], "Total number of active pin cells": 1, "Number of angular discretizations": 2, "The l-order Legendre polynomial": 0, "Maximum number of iterations": 200, "Criterion of Keff convergence": 1.0E-6 }, "Assemblies": [ { "id": 1, "name": "Assembly 1", "assembly": [1,2,3,4,5] } ], "PinCells": [ { "id": 1, "name": "Pin Cell 1", "ray": [0.3175], "mat_fill": [1], "fine_mesh": [5] }, { "id": 2, "name": "Pin Cell 2", "ray": [1.82769], "mat_fill": [2], "fine_mesh": [5] }, { "id": 3, "name": "Pin Cell 3", "ray": [1.83150], "mat_fill": [3], "fine_mesh": [5] }, { "id": 4, "name": "Pin Cell 4", "ray": [1.88230], "mat_fill": [4], "fine_mesh": [5] }, { "id": 5, "name": "Pin Cell 5", "ray": [2.285814144], "mat_fill": [5], "fine_mesh": [5] } ], "materials": [ { "id": 1, "nom": "material 1", "XSTotal": [0.297551431, 0.288909664, 0.290306468, 0.286637159, 0.295583239, 0.326837471, 0.155639234], "XSNuFission": [0, 0, 0, 0, 0, 0, 0], "XSScatter Matrix":[[[0.269680893, 0.021221626, 0, 0, 0, 0, 0], [0.015676686, 0.263059691, 0.005057992, 0, 0, 0, 0], [0, 0.013507066, 0.273815991, 0.001186857, 0, 0, 0], [0, 0, 0.014034288, 0.270365363, 0.002092507, 0, 0], [0, 0, 0, 0.00079017, 0.292969338, 0, 0], [0, 0, 0, 0, 0.001078437, 0.32539832 , 0], [0, 0, 0, 0, 0.000007539, 0.011162732, 0.14376993]]], "XSChi": [0, 0, 0, 0, 0, 0, 0] }, { "id": 2, "nom": "material 2", "XSTotal": [2.994544, 1.408450959, 0.817921932, 0.633026483, 0.650866502, 0.515434679, 0.243844582], "XSNuFission": [0.362087986, 0.179080763, 0.09568437, 0.03889374, 0.013653221, 0.001011529, 0.00163296], "XSScatter Matrix":[[[2.739733851, 0.036287563, 0.014790886, 0, 0, 0, 0], [0.038125613, 1.255653823, 0.014136713, 0, 0, 0, 0], [0.166974328, 0.274556127, 0.320581789, 0.00109001, 0, 0, 0], [0.036264407, 0.11429219, 0.651920757, -0.19634513, 0.001532029, 0, 0], [0.003270334, 0.00846593, 0.051970962, 0.052892578, 0.512276254, 0, 0], [0.000000452, 0.000001176, 0.000010132, 0.000008685, 0.162129535, 0.352055605, 0], [0, 0, 0.000000177, 0.000000059, 0.001637495, 0.098331459, 0.142495556]]], "XSChi": [0, 0, 0, 0, 0.000390, 0.126214, 0.872105] }, { "id": 3, "nom": "material 3", "XSTotal": [0, 0, 0, 0, 0, 0, 0], "XSNuFission": [0, 0, 0, 0, 0, 0, 0], "XSScatter Matrix":[[[0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0]]], "XSChi": [0, 0, 0, 0, 0, 0, 0] }, { "id": 4, "nom": "material 4", "XSTotal": [1.153239138, 1.012997908, 0.947913799, 0.908546838, 0.966825787, 0.46508365, 0.201018163], "XSNuFission": [0, 0, 0, 0, 0, 0, 0], "XSScatter Matrix":[[[0.810739629, 0.066072482, 0, 0, 0, 0, 0], [0.070201393, 0.778857964, 0.018049333, 0, 0, 0, 0], [0.000005432, 0.055959691, 0.806723946, 0.003927282, 0, 0, 0], [0, 0, 0.061596098, 0.790102323, 0.005981459, 0, 0], [0, 0, 0, 0.003658891, 0.950937049, 0 , 0], [0, 0, 0, 0, 0.005035727, 0.459136241, 0], [0, 0, 0, 0, 0.000075732, 0.014066679, 0.185277698]]], "XSChi": [0, 0, 0, 0, 0, 0, 0] }, { "id": 5, "nom": "material 5", "XSTotal": [3.102999797, 1.73516897, 0.980823407, 0.642418097, 0.567747919, 0.419879925, 0.201975672], "XSNuFission": [0, 0, 0, 0, 0, 0, 0], "XSScatter Matrix":[[[2.631785406, 0.437581882, 0.00907283, 0, 0, 0, 0], [0.609582022, 1.041127377, 0.071965385, 0, 0, 0, 0], [0.141504305, 0.538385484, 0.292249692, 0.002089256, 0, 0, 0], [0.036338638, 0.123430676, 0.814518036, -0.336757332, 0.001951418, 0, 0], [0.003425563, 0.009933065, 0.061937554, 0.066020159, 0.425993565, 0, 0], [0.000000363, 0.000001996, 0.000009253, 0.00000889, 0.203705679, 0.216356046, 0], [0, 0, 0.000000253, 0, 0.001995558, 0.110723501, 0.089154896]]], "XSChi": [0, 0, 0, 0, 0, 0, 0] } ] } }
- Geometry in a two-dimensional TRIGA Reactor
- Flux in a one-dimensional TRIGA Reactor
The infinite cell in OpenMC OpenMC is represented by hexagonal cell with reflective boundaries. The infinite multiplication factor values obtained in OpenNTP and OpenMC are shown in Table below.
| Surface | \(k_{inf}\) |
|---|---|
| OpenNTP | 1.403180 |
| OoenMC | 1.40359(8pcm) |
2.5. Sphere¶
Setting up input file for the Uc-H2O(2)-1-0-SL benchmark taken from [Sood, A., et al.,2003]., which is a sphere geometry in one energy groups with isotropic scattering source.
{ "data": { "parameter": { "id": 100, "Total number of energy groups": 1, "Total number of materials": 2, "Total number of pin cells": 2, "Total number of assemblies": 1, "Core": [1], "Total number of active pin cells": 1, "Number of angular discretizations": 2, "The l-order Legendre polynomial": 0, "Maximum number of iterations": 200, "Criterion of Keff convergence": 1.0E-6 }, "Assemblies": [ { "id": 1, "name": "Assembly 1", "assembly": [1,2] } ], "PinCells": [ { "id": 1, "name": "Pin Cell 1", "ray": [6.12745], "mat_fill": [1], "fine_mesh": [1000] }, { "id": 2, "name": "Pin Cell 2", "ray": [12.2549], "mat_fill": [2], "fine_mesh": [1000] } ], "materials": [ { "id": 1, "name": "Uc", "XSTotal": [0.3264], "XSNuFission": [0.176733066], "XSScatter Matrix":[[[0.248064]]], "XSChi": [1] }, { "id": 2, "name": "H2O", "XSTotal": [0.3264], "XSNuFission": [0.0], "XSScatter Matrix":[[[0.29376]]], "XSChi": [0] } ] } }
- Geometry in a one-dimensional sphere
- Flux in a one-dimensional sphere
